Relevant bibliographies by topics / Coupling of hyperbolic systems

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Coupling of hyperbolic systems'

Author: Grafiati
Published: 4 June 2021
Last updated: 8 February 2022

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Journal articles on the topic "Coupling of hyperbolic systems"

1

Herty, Michael. "Coupling of Systems of Hyperbolic Equations." PAMM 5, no. 1 (2005): 665–66. http://dx.doi.org/10.1002/pamm.200510309.

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Tanzi, Matteo, and Lai-Sang Young. "Nonuniformly hyperbolic systems arising from coupling of chaotic and gradient-like systems." Discrete & Continuous Dynamical Systems - A 40, no. 10 (2020): 6015–41. http://dx.doi.org/10.3934/dcds.2020257.

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Le Gorrec, Yann, and Denis Matignon. "Coupling between hyperbolic and diffusive systems: A port-Hamiltonian formulation." European Journal of Control 19, no. 6 (2013): 505–12. http://dx.doi.org/10.1016/j.ejcon.2013.09.003.

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Dafermos, C. M., and X. Geng. "Generalised characteristics in hyperbolic systems of conservation laws with special coupling." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 116, no. 3-4 (1990): 245–78. http://dx.doi.org/10.1017/s0308210500031504.

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SynopsisUsing the theory of generalised characteristics, we study the structure of BV solutions of genuinely nonlinear systems of two conservation laws whose shock and rarefaction wave curves of the first family are straight lines. We also establish a priori estimates on the variation of the solution similar to those obtained earlier by Glimm and Lax.
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Tyszka-Zawadzka, Anna, Bartosz Janaszek, Marcin Kieliszczyk, and Paweł Szczepański. "Controllable intermodal coupling in waveguide systems based on tunable hyperbolic metamaterials." Optics Express 28, no. 26 (2020): 40044. http://dx.doi.org/10.1364/oe.413825.

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Boutin, Benjamin, Frédéric Coquel, and Philippe G. LeFloch. "Coupling techniques for nonlinear hyperbolic equations. I Self-similar diffusion for thin interfaces." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 141, no. 5 (2011): 921–56. http://dx.doi.org/10.1017/s0308210510001459.

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We investigate various analytical and numerical techniques for the coupling of nonlinear hyperbolic systems and, in particular, we introduce an augmented formulation that allows for the modelling of the dynamics of interfaces between fluid flows. The main technical difficulty to be overcome lies in the possible resonance effect when wave speeds coincide and global hyperbolicity is lost. As a consequence, non-uniqueness of weak solutions is observed for the initial-value problem, and these solutions need to be supplemented with further admissibility conditions. This paper is devoted to investig
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Berkovits, J., and V. Mustonen. "Hyperbolic systems with linear coupling: resonance with respect to the matrix spectrum." Nonlinear Analysis: Theory, Methods & Applications 47, no. 5 (2001): 2893–904. http://dx.doi.org/10.1016/s0362-546x(01)00411-4.

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Gastaldi, Fabio, and Alfio Quarteroni. "On the coupling of hyperbolic and parabolic systems: analytical and numerical approach." Applied Numerical Mathematics 6, no. 1-2 (1989): 3–31. http://dx.doi.org/10.1016/0168-9274(89)90052-4.

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Borsche, R., and A. Klar. "Flooding in urban drainage systems: coupling hyperbolic conservation laws for sewer systems and surface flow." International Journal for Numerical Methods in Fluids 76, no. 11 (2014): 789–810. http://dx.doi.org/10.1002/fld.3957.

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PALLARD, CHRISTOPHE. "NON-RESONANT COUPLING OF WAVE-TRANSPORT SYSTEMS IN DISTORTED GEOMETRY." Journal of Hyperbolic Differential Equations 02, no. 01 (2005): 109–28. http://dx.doi.org/10.1142/s0219891605000403.

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We consider coupled systems of a second order hyperbolic equation and a first order kinetic equation [Formula: see text] The unknowns are u ≡ u(t,x,ξ) and f ≡ f(t,x,ξ) with phase space [Formula: see text], while the coefficients Kα are essentially linear combinations of ξ-moments of u and their first derivatives. Under suitable assumptions on the vector field p, we show that moments of u as well as their first and second derivatives remain bounded as long as the support of f in the ξ variable remains compact. Examples of application are the relativistic Vlasov–Maxwell, Vlasov–Nordström and rel
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Dissertations / Theses on the topic "Coupling of hyperbolic systems"

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Unterweger, Kristof Gregor [Verfasser]. "High-Performance Coupling of Dynamically Adaptive Grids and Hyperbolic Equation Systems / Kristof Gregor Unterweger." München : Verlag Dr. Hut, 2017. http://d-nb.info/1126296031/34.

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Perrier, Vincent. "Modélisation et simulation d'écoulements multiphasiques compressibles avec ou sans changement de phase : application à l'interaction laser-plasma." Bordeaux 1, 2007. http://www.theses.fr/2007BOR13560.

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Ce travail porte sur la modélisation et la simulation d’écoulements compressibles. Par une démarche d’homogénéisation, on commence par dériver un modèle d’écoulements diphasiques à sept équations. Les termes de fluctuation restants sont modélisés par des termes de relaxation. Dans le cas où ces coefficients de relaxation tendent vers l’infini, ce qui correspond à des écoulements très bien mélangés, on obtient par un développement asymptotique un modèle à cinq équations qui est strictement hyperbolique, mais non-conservatif. La discrétisation de ce modèle est obtenue par un développement asympt
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Hardin, Douglas Patten. "Hyperbolic iterated function systems and applications." Diss., Georgia Institute of Technology, 1985. http://hdl.handle.net/1853/30864.

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Pham, Minh Hoa. "Bicharacteristic methods for multi-dimensional hyperbolic systems." Thesis, University of Oxford, 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.393375.

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Strogies, Nikolai. "Optimization of nonsmooth first order hyperbolic systems." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät, 2016. http://dx.doi.org/10.18452/17633.

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Wir betrachten Optimalsteuerungsprobleme, die von partiellen Differentialgleichungen beziehungsweise Variationsungleichungen mit Differentialoperatoren erster Ordnung abhängen. Wir führen die Reformulierung eines Tagebauplanungsproblems, das auf stetigen Funktionen beruht, ein. Das Resultat ist ein Optimalsteuerungsproblem für Viskositätslösungen einer Eikonalgleichung. Die Existenz von Lösungen dieses und bestimmter Hilfsprobleme, die von semilinearen PDG‘s mit künstlicher Viskosität abhängen, wird bewiesen, Stationaritätsbedingungen hergeleitet und ein schwaches Konsistenzresultat für statio
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Al-Nayef, Anwar Ali Bayer, and mikewood@deakin edu au. "Semi-hyperbolic mappings in Banach spaces." Deakin University. School of Computing and Mathematics, 1997. http://tux.lib.deakin.edu.au./adt-VDU/public/adt-VDU20051208.110247.

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The definition of semi-hyperbolic dynamical systems generated by Lipschitz continuous and not necessarily invertible mappings in Banach spaces is presented in this thesis. Like hyperbolic mappings, they involve a splitting into stable and unstable spaces, but a slight leakage from the strict invariance of the spaces is possible and the unstable subspaces are assumed to be finite dimensional. Bi-shadowing is a combination of the concepts of shadowing and inverse shadowing and is usually used to compare pseudo-trajectories calculated by a computer with the true trajectories. In this thesis, the
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Nicoll, Wilfred James. "Global oscillatory integrals for solutions of hyperbolic systems." Thesis, University of Sussex, 1999. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.266443.

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Ponce, Gabriel. "Fine ergodic properties of partially hyperbolic dynamical systems." Universidade de São Paulo, 2014. http://www.teses.usp.br/teses/disponiveis/55/55135/tde-20032015-113539/.

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Let f : T3 → T3 be a C2 volume preserving partially hyperbolic diffeomorphism homotopic to a linear Anosov automorphism A : T3 → T3. We prove that if f is Kolmogorov, then f is Bernoulli. We study the characteristics of atomic disintegration of the volume measure whenever it occurs. We prove that if the volume measure m has atomic disintegration on the center leaves then the disintegration has one atom per center leaf. We give a condition, depending only on the center Lyapunov exponent of the diffeomorphism, that guarantees atomic disintegration of the volume measure on center leav
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Petty, Taylor Michael. "Nonlocally Maximal Hyperbolic Sets for Flows." BYU ScholarsArchive, 2015. https://scholarsarchive.byu.edu/etd/5558.

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In 2004, Fisher constructed a map on a 2-disc that admitted a hyperbolic set not contained in any locally maximal hyperbolic set. Furthermore, it was shown that this was an open property, and that it was embeddable into any smooth manifold of dimension greater than one. In the present work we show that analogous results hold for flows. Specifically, on any smooth manifold with dimension greater than or equal to three there exists an open set of flows such that each flow in the open set contains a hyperbolic set that is not contained in a locally maximal one.
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Jovanović, Vladimir. "Finite volume schemes for hyperbolic-parabolic systems error estimates /." [S.l.] : [s.n.], 2004. http://deposit.ddb.de/cgi-bin/dokserv?idn=971197393.

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Books on the topic "Coupling of hyperbolic systems"

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Gastaldi, Fabio. On the coupling of hyperbolic and parabolic systems: Analytical and numerical approach. ICASE, 1988.

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Involutive hyperbolic differential systems. American Mathematical Society, 1987.

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Li, Tatsien, and Bopeng Rao. Boundary Synchronization for Hyperbolic Systems. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-32849-8.

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LeFloch, Philippe G. Hyperbolic Systems of Conservation Laws. Birkhäuser Basel, 2002. http://dx.doi.org/10.1007/978-3-0348-8150-0.

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Bressan, Alberto, Denis Serre, Mark Williams, and Kevin Zumbrun. Hyperbolic Systems of Balance Laws. Edited by Pierangelo Marcati. Springer Berlin Heidelberg, 2007. http://dx.doi.org/10.1007/978-3-540-72187-1.

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Nishitani, Tatsuo. Hyperbolic Systems with Analytic Coefficients. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-02273-4.

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Anosov, D. V. Dynamical Systems IX: Dynamical Systems with Hyperbolic Behaviour. Springer Berlin Heidelberg, 1995.

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Quasilinear hyperbolic systems and dissipative mechanisms. World Scientific, 1997.

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Cauchy problem for quasilinear hyperbolic systems. Mathematical Society of Japan, 2000.

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Tartar, Luc. From Hyperbolic Systems to Kinetic Theory. Springer Berlin Heidelberg, 2008. http://dx.doi.org/10.1007/978-3-540-77562-1.

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Book chapters on the topic "Coupling of hyperbolic systems"

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Ambroso, A., C. Chalons, F. Coquel, et al. "A Relaxation Method for the Coupling of Systems of Conservation Laws." In Hyperbolic Problems: Theory, Numerics, Applications. Springer Berlin Heidelberg, 2008. http://dx.doi.org/10.1007/978-3-540-75712-2_99.

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Herty, Michael, Siegfried Müller, and Aleksey Sikstel. "Coupling of Two Hyperbolic Systems by Solving Half-Riemann Problems." In Mathematical Modeling, Simulation and Optimization for Power Engineering and Management. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-62732-4_13.

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Galdi, Giovanni Paolo, Mahdi Mohebbi, Rana Zakerzadeh, and Paolo Zunino. "Hyperbolic–Parabolic Coupling and the Occurrence of Resonance in Partially Dissipative Systems." In Fluid-Structure Interaction and Biomedical Applications. Springer Basel, 2014. http://dx.doi.org/10.1007/978-3-0348-0822-4_3.

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Gastaldi, Fabio, and Alfio Quarteroni. "On the Coupling of Hyperbolic and Parabolic Systems: Analitical and Numerical Approach." In Proceedings of the Third German-Italian Symposium Applications of Mathematics in Industry and Technology. Vieweg+Teubner Verlag, 1989. http://dx.doi.org/10.1007/978-3-322-96692-6_8.

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Rybak, Iryna. "Coupling Free Flow and Porous Medium Flow Systems Using Sharp Interface and Transition Region Concepts." In Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-05591-6_70.

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Ern, Alexandre, and Jean-Luc Guermond. "Hyperbolic systems." In Finite Elements III. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-57348-5_80.

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Barreira, Luís, and Claudia Valls. "Hyperbolic Dynamics." In Dynamical Systems by Example. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-15915-3_10.

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Barreira, Luís, and Claudia Valls. "Hyperbolic Dynamics." In Dynamical Systems by Example. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-15915-3_4.

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Barreira, Luis, and Claudia Valls. "Hyperbolic Dynamics I." In Dynamical Systems. Springer London, 2013. http://dx.doi.org/10.1007/978-1-4471-4835-7_5.

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Barreira, Luis, and Claudia Valls. "Hyperbolic Dynamics II." In Dynamical Systems. Springer London, 2013. http://dx.doi.org/10.1007/978-1-4471-4835-7_6.

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Conference papers on the topic "Coupling of hyperbolic systems"

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LOU, JIE, and TOMMASO RUGGERI. "ON THE SHIZUTA–KAWASHIMA COUPLING CONDITION FOR DISSIPATIVE HYPERBOLIC SYSTEMS AND ACCELERATION WAVES." In Proceedings of the 13th Conference on WASCOM 2005. WORLD SCIENTIFIC, 2006. http://dx.doi.org/10.1142/9789812773616_0048.

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Anfinsen, Henrik, and Ole Morten Aamo. "Stabilization of linear 2 × 2 hyperbolic systems with uncertain coupling coefficients - part II: Swapping design." In 2016 Australian Control Conference (AuCC). IEEE, 2016. http://dx.doi.org/10.1109/aucc.2016.7868010.

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Anfinsen, Henrik, and Ole Morten Aamo. "Stabilization of linear 2 × 2 hyperbolic systems with uncertain coupling coefficients - part I: Identifier-based design." In 2016 Australian Control Conference (AuCC). IEEE, 2016. http://dx.doi.org/10.1109/aucc.2016.7868009.

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Lei, Szu-Chin, Wen-Hsuan Hsieh, Wood-Hi Cheng, Ying-Chien Tsai, and Che-Hsin Lin. "Micro-hyperboloid lensed optical fibers for laser chip coupling." In 2016 IEEE 11th Annual International Conference on Nano/Micro Engineered and Molecular Systems (NEMS). IEEE, 2016. http://dx.doi.org/10.1109/nems.2016.7758223.

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Hagani, Fouad, M’hamed Boutaous, Ronnie Knikker, Shihe Xin, and Dennis Siginer. "Numerical Modeling of Phan-Thien-Tanner Viscoelastic Fluid Flow Through a Square Cross-Section Duct: Heat Transfer Enhancement due to Shear-Thinning Effects." In ASME 2018 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/imece2018-87568.

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Non-isothermal laminar flow of a viscoelastic fluid through a square cross-section duct is analyzed. Viscoelastic stresses are described by the Phan-Thien – Tanner model and the solvent shear stress is given by the linear Newtonian constitutive relationship. The solution of the set of governing equations spawns coupling between equations of elliptic-hyperbolic type. Our numerical approach is based on the finite-differences method. To treat the hyperbolic part, the system of equations are rewritten in a quasilinear form. The resulting pure advection terms are discretized using high-order upwind
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Wang, Xia, and Xiaodong Sun. "Hyperbolicity of One-Dimensional Two-Fluid Model With Interfacial Area Transport Equations." In ASME 2009 Fluids Engineering Division Summer Meeting. ASMEDC, 2009. http://dx.doi.org/10.1115/fedsm2009-78388.

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Two-fluid model with an empirical flow regime concept is widely used for two-phase flow analyses but suffers from its static and often non-hyperbolic nature. Recently, an interfacial area transport equation (IATE) has been proposed within the framework of the two-fluid model to dynamically describe the interfacial structure evolution and model the interfacial area concentration with the ultimate goal of modeling flow regime transition dynamically. Studies showed that the two-fluid model with the IATE (termed “two-fluid-IATE model” hereafter) could provide a more accurate prediction of the phas
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Hagani, Fouad, M'hamed Boutaous, Ronnie Knikker, Shihe Xin, and Dennis Siginer. "Numerical Modeling of Non-Affine Viscoelastic Fluid Flow Including Viscous Dissipation Through a Square Cross-Section Duct: Heat Transfer Enhancement due to the Inertia and the Elastic Effects." In ASME 2020 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/imece2020-23558.

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Abstract Non-isothermal laminar flow of a viscoelastic fluid including viscous dissipation through a square cross–section duct is analyzed. Viscoelastic stresses are described by Giesekus modele orthe Phan-Thien–Tanner model and the solvent shear stress is given by the linear Newtonian constitutive relationship. The flow through the tube is governed by the conservation equations of energy, mass, momentum associated with to one non–affine rheological model mentioned above. The mixed type of the governing system of equations (elliptic–parabolic–hyperbolic) requires coupling between discretisatio
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Nowakowski, A. F., B. V. Librovich, and L. Lue. "Reactor Safety Analysis Based on a Developed Two-Phase Compressible Flow Simulation." In ASME 7th Biennial Conference on Engineering Systems Design and Analysis. ASMEDC, 2004. http://dx.doi.org/10.1115/esda2004-58351.

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The direct numerical simulation of multiphase flow is a challenging research topic with various key applications. In the present work, a computational simulation of multi-phase compressible flow has been proposed for safety analysis of chemical reactors. The main objective of a pressure relief system is to prevent accidents occurring from over pressurisation of the reactor. We are particularly interested in understanding the phenomena associated with emergency pressure relief systems for batch-type reactors and storage vessels. Existence of multiphase flow is significantly influenced by the in
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Bahmani, Bahador, and Amir R. Khoei. "Modeling Convective Heat Propagation in a Fractured Domain With X-FEM and Least Square Method." In ASME 2017 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/imece2017-71167.

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The main goal of the current study is developing an advanced and robust numerical tool for accurate capturing heat front propagation. In some applications such as impermeable medium, Heat transfer in the surrounding domain of fracture acts just as a conduction process but the heat transfer through the fractures appears as a convection process. From a mathematical point of view, a parabolic partial differential equation (PDE) should be solved in the surrounding domain whereas a hyperbolic PDE should be solved in the domain of fractures. In fact, they have completely different treatments and thi
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Arghir, Mihai, and Jean Frene. "Numerical Solution of Lubrication’s Compressible Bulk Flow Equations: Applications to Annular Gas Seals Analysis." In ASME Turbo Expo 2001: Power for Land, Sea, and Air. American Society of Mechanical Engineers, 2001. http://dx.doi.org/10.1115/2001-gt-0117.

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The appropriate theoretical model for lubrication flows characterized by reduced Reynolds numbers greater than unity (Re*=ρVH/μ·H/L≥l) is the so-called “bulk flow” system of equations. Its solution is more difficult than for the simple Reynolds equation because one has to deal with coupled pressure and velocity fields and the equations are of mixed elliptic-hyperbolic type. Adapting some methods borrowed from CFD can develop a suitable numerical approach. In the present work we introduce a pressure-based method belonging to the family of SIMPLE algorithms where compressibility is taken into ac
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Reports on the topic "Coupling of hyperbolic systems"

1

Shearer, Michael. Systems of Hyperbolic Partial Differential Equations. Defense Technical Information Center, 1994. http://dx.doi.org/10.21236/ada290287.

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Shearer, Michael. Systems of Nonlinear Hyperbolic Partial Differential Equations. Defense Technical Information Center, 1997. http://dx.doi.org/10.21236/ada344449.

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Reynolds, Daniel R., Ravi Samtaney, and Carol S. Woodward. Operator-Based Preconditioning of Stiff Hyperbolic Systems. Office of Scientific and Technical Information (OSTI), 2009. http://dx.doi.org/10.2172/950693.

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Hou, Thomas Y. Homogenization for Semilinear Hyperbolic Systems with Oscillatory Data. Defense Technical Information Center, 1988. http://dx.doi.org/10.21236/ada201299.

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Pinter, Gabriella A. Global Attractor for Damped Abstract Nonlinear Hyperbolic Systems. Defense Technical Information Center, 1998. http://dx.doi.org/10.21236/ada446729.

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Rivera, Michael Kelly, and Russell Whitford Bent. GMD Coupling to Power Systems and Disturbance Mitigation. Office of Scientific and Technical Information (OSTI), 2018. http://dx.doi.org/10.2172/1418747.

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Meng, C. I., and P. T. Newell. Investigations of Magnetosphere-Ionosphere Coupling Relevant to Operational Systems. Defense Technical Information Center, 1988. http://dx.doi.org/10.21236/ada195972.

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Trichtchenko, L., and D. H. Boteler. Coupling between power systems and pipelines during geomagnetic disturbances. Natural Resources Canada/ESS/Scientific and Technical Publishing Services, 2013. http://dx.doi.org/10.4095/292842.

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Goldberg, Moshe, and Marvin Marcus. Stability Analysis of Finite Difference Schemes for Hyperbolic Systems and Problems in Applied and Computational Linear Algebra. Defense Technical Information Center, 1988. http://dx.doi.org/10.21236/ada201083.

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Marcus, Marvin, and Moshe Goldberg. Stability Analysis of Finite Difference Schemes for Hyperbolic Systems, and Problems in Applied and Computational Linear Algebra. Defense Technical Information Center, 1985. http://dx.doi.org/10.21236/ada161092.

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