Academic literature on the topic 'Explicit diffusive kinetic scheme'

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Journal articles on the topic "Explicit diffusive kinetic scheme"

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Aregba-Driollet, D., R. Natalini, and S. Tang. "Explicit diffusive kinetic schemes for nonlinear degenerate parabolic systems." Mathematics of Computation 73, no. 245 (2003): 63–94. http://dx.doi.org/10.1090/s0025-5718-03-01549-7.

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Dimarco, Giacomo, Lorenzo Pareschi, and Vittorio Rispoli. "Implicit-Explicit Runge-Kutta Schemes for the Boltzmann-Poisson System for Semiconductors." Communications in Computational Physics 15, no. 5 (2014): 1291–319. http://dx.doi.org/10.4208/cicp.090513.151113a.

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AbstractIn this paper we develop a class of Implicit-Explicit Runge-Kutta schemes for solving the multi-scale semiconductor Boltzmann equation. The relevant scale which characterizes this kind of problems is the diffusive scaling. This means that, in the limit of zero mean free path, the system is governed by a drift-diffusion equation. Our aim is to develop a method which accurately works for the different regimes encountered in general semiconductor simulations: the kinetic, the intermediate and the diffusive one. Moreover, we want to overcome the restrictive time step conditions of standard
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Boudin, Laurent, Céline Grandmont, Bérénice Grec, Sébastien Martin, Amina Mecherbet, and Frédérique Noël. "Fluid-kinetic modelling for respiratory aerosols with variable size and temperature." ESAIM: Proceedings and Surveys 67 (2020): 100–119. http://dx.doi.org/10.1051/proc/202067007.

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In this paper, we propose a coupled fluid-kinetic model taking into account the radius growth of aerosol particles due to humidity in the respiratory system. We aim to numerically investigate the impact of hygroscopic effects on the particle behaviour. The air flow is described by the incompressible Navier-Stokes equations, and the aerosol by a Vlasov-type equation involving the air humidity and temperature, both quantities satisfying a convection-diffusion equation with a source term. Conservations properties are checked and an explicit time-marching scheme is proposed. Twodimensional numeric
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Huh, Joo Youl, and Jong Pa Hong. "Influences of Elastic Stress and Interfacial Kinetic Barrier on Phase Evolution Paths of Thin-Film Diffusion Couples." Solid State Phenomena 118 (December 2006): 405–12. http://dx.doi.org/10.4028/www.scientific.net/ssp.118.405.

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An explicit, finite difference scheme was used to examine the effects of coherency stresses and interface kinetic barriers on the phase evolution of a binary, thin-film diffusion couple. Thin-films, initially consisting of alternating layers of two terminal phases, α and γ, were held at a temperature at which the formation of an intermediate phase, β, at α/γ interface was thermodynamically probable. When either the coherency stresses or interface kinetic barriers are present, the interfacial compositions become time-dependent and, thus, the formation of the thermodynamically stable β phase can
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Lv, Maoyin, and Hao Wu. "On the nonlocal Cahn–Hilliard equation with nonlocal dynamic boundary condition and singular potential: well-posedness, regularity and asymptotic limits." Nonlinearity 38, no. 4 (2025): 045017. https://doi.org/10.1088/1361-6544/adbcf2.

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Abstract We consider a class of nonlocal Cahn–Hilliard equations in a bounded domain Ω ⊂ R d ( d ∈ { 2 , 3 } ) , subject to a nonlocal kinetic rate dependent dynamic boundary condition. This diffuse interface model describes phase separation processes with possible long-range interactions both within the bulk material and on its boundary. The kinetic rate 1 / L , with L ∈ [ 0 , + ∞ ] , distinguishes different types of bulk-boundary interactions. For the initial boundary value problem endowed with general singular potentials, including the physically relevant logarithmic potential, we first est
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Eckermann, Stephen D. "Explicitly Stochastic Parameterization of Nonorographic Gravity Wave Drag." Journal of the Atmospheric Sciences 68, no. 8 (2011): 1749–65. http://dx.doi.org/10.1175/2011jas3684.1.

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Abstract A straightforward methodology is presented for converting the deterministic multiwave parameterizations of nonorographic gravity wave drag, currently used in general circulation models (GCMs), to stochastic analogs that use fewer waves (in the example herein, a single wave) within each grid box. Deterministic discretizations of source-level momentum flux spectra using a fixed spectrum of many waves with predefined phase speeds are replaced by sampling these source spectra stochastically using waves with randomly assigned phase speeds. Using simple conversion formulas, it is shown that
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Chepak-Gizbrekht, M. V., and A. G. Knyazeva. "Two-dimensional model of grain boundary diffusion and oxidation." PNRPU Mechanics Bulletin, no. 1 (December 15, 2022): 156–66. http://dx.doi.org/10.15593/perm.mech/2022.1.12.

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The grinding of the structure of materials is accompanied by a change in the physical and mechanical properties. This occurs largely due to the accumulation of energy and defects in the structure, which activates the diffusion of impurities contained in the material. The increase in the number of grain boundaries and joints can cause the inelastic behavior of the material, its additional chemical activation. For some metals and alloys this leads to strengthening, while for others it leads to rapid degradation of mechanical properties. Grain boundary diffusion in such materials is the main mech
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Muñoz-Esparza, Domingo, Robert D. Sharman, and Stanley B. Trier. "On the Consequences of PBL Scheme Diffusion on UTLS Wave and Turbulence Representation in High-Resolution NWP Models." Monthly Weather Review 148, no. 10 (2020): 4247–65. http://dx.doi.org/10.1175/mwr-d-20-0102.1.

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AbstractMesoscale numerical weather prediction (NWP) models are routinely exercised at kilometer-scale horizontal grid spacings (Δx). Such fine grids will usually allow at least partial resolution of small-scale gravity waves and turbulence in the upper troposphere and lower stratosphere (UTLS). However, planetary boundary layer (PBL) parameterization schemes used with these NWP model simulations typically apply explicit subgrid-scale vertical diffusion throughout the entire vertical extent of the domain, an effect that cannot be ignored. By way of an example case of observed widespread turbul
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Deng, Aijun, and David R. Stauffer. "On Improving 4-km Mesoscale Model Simulations." Journal of Applied Meteorology and Climatology 45, no. 3 (2006): 361–81. http://dx.doi.org/10.1175/jam2341.1.

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Abstract A previous study showed that use of analysis-nudging four-dimensional data assimilation (FDDA) and improved physics in the fifth-generation Pennsylvania State University–National Center for Atmospheric Research Mesoscale Model (MM5) produced the best overall performance on a 12-km-domain simulation, based on the 18–19 September 1983 Cross-Appalachian Tracer Experiment (CAPTEX) case. However, reducing the simulated grid length to 4 km had detrimental effects. The primary cause was likely the explicit representation of convection accompanying a cold-frontal system. Because no convective
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YOSSIFON, G., I. FRANKEL, and T. MILOH. "Macro-scale description of transient electro-kinetic phenomena over polarizable dielectric solids." Journal of Fluid Mechanics 620 (February 10, 2009): 241–62. http://dx.doi.org/10.1017/s002211200800459x.

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We have studied the temporal evolution of electro-kinetic flows in the vicinity of polarizable dielectric solids following the application of a ‘weak’ transient electric field. To obtain a macro-scale description in the limit of narrow electric double layers (EDLs), we have derived a pair of effective transient boundary conditions directly connecting the electric potentials across the EDL. Within the framework of the above assumptions, these conditions apply to a general transient electro-kinetic problem involving dielectric solids of arbitrary geometry and relative permittivity. Furthermore,
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Dissertations / Theses on the topic "Explicit diffusive kinetic scheme"

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Haghebaert, Marie. "Outils et méthodes pour la modélisation de la dynamique des écosystèmes microbiens complexes à partir d'observations expérimentales temporelles : application à la dynamique du microbiote intestinal." Electronic Thesis or Diss., université Paris-Saclay, 2023. http://www.theses.fr/2023UPASM036.

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Cette thèse est issue du projet Européen Homo.symbiosus qui étudie les transitions d'équilibre des interactions entre l'hôte et son microbiote intestinal. Pour étudier les transitions nous suivons deux directions : la modélisation mécaniste des interactions hôte-microbiote et l'analyse de données temporelles de comptage microbien.Nous avons enrichi et simulé un modèle déterministe de la crypte intestinale grâce au schéma numérique EDK, en étudiant notamment l'impact des différents paramètres en utilisant la méthode des effets élémentaires de Morris. Ce modèle s'est avéré capable de simuler d'u
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Poltorak, Sergej. "Amperometrinio biojutiklio su chemiškai modifikuotu elektrodu vykstančių reakcijos-difuzijos procesų kompiuterinis modeliavimas ir tyrimas." Master's thesis, Lithuanian Academic Libraries Network (LABT), 2014. http://vddb.library.lt/obj/LT-eLABa-0001:E.02~2011~D_20140627_170922-37372.

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Magistrinio darbo tikslas yra sukurti kompiuterinį amperometrinio biojutiklio su chemiškai modifikuotu elektrodu modelį ir ištirti jo savybes. Modelis papildo egzistuojančius modelius mediatoriaus sluoksniu. Mediatoriaus koncentracija sluoksnyje nėra konstanta, tirpsta biojutiklio veikimo eigoje. Darbe apžvelgiama medžiaga apie amperometrinius biojutiklius, biojutiklio modeliavimo aspektus, mediatoriaus tirpimo priežastis ir veikimo principus. Vėliau suformuluojamas pasirinkto biojutiklio matematinis modelis. Matematiniame modelyje pateikiamos diferencialinės lygtys su dalinėmis išvestinėmis,
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Devi, K. "Numerical simulation of free surface flow using lax diffusive explicit scheme." Thesis, 2014. http://ethesis.nitrkl.ac.in/6267/1/E-96.pdf.

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In an open channel or overland flow of shallow depth, flood wave propagation is the concept which requires governing equations for its solution. The computation of governing equations (both momentum equation and continuity equations) to be solved are generally called the Saint-Venant equations. These equations are highly nonlinear partial differential equations, the solutions of which are very much complex. Numerical approaches are generally employed to solve these equations and proper discretization with proper selection of grid size and time step provides the results more effectively and acc
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Conference papers on the topic "Explicit diffusive kinetic scheme"

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Kern, Matthias, Paris Fokaides, Peter Habisreuther, and Nikolaos Zarzalis. "Applicability of a Flamelet and a Presumed JPDF 2-Domain-1-Step-Kinetic Turbulent Reaction Model for the Simulation of a Lifted Swirl Flame." In ASME Turbo Expo 2009: Power for Land, Sea, and Air. ASMEDC, 2009. http://dx.doi.org/10.1115/gt2009-59435.

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Lifted diffusion flames are an interesting topic due to many reasons. Mainly, lifting the reaction zone provides explicit time for mixing and avoids, therefore, hot spots at near stoichiometric conditions. Hence, they promise low emissions and make them auspicious for industrial application. In comparison to lean premixed flames, which are promising in terms of emissions as well, they distinguish themselves in the nonexistence of the risk of flashback by concurrently nearly premixed flame conditions. From exploratory considerations they are an excellent case for the investigation of flame stab
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Rizales, Johnny J. M., Paulo T. T. Esperanc¸a, and Andre´ Belfort Bueno. "Simulation of Flow Around Circular Cylinder Using a Collocation Spectral Method." In ASME 2005 24th International Conference on Offshore Mechanics and Arctic Engineering. ASMEDC, 2005. http://dx.doi.org/10.1115/omae2005-67152.

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The purpose of this paper is to develop a Fourier-Chebyshev collocation spectral method for computing unsteady two-dimensional viscous incompressible flow past a circular cylinder for low Reynolds numbers. The incompressible Navier-Stokes equations (INSE) are formulated in terms of the primitive variables, velocity and pressure. The incompressible Navier-Stokes equations in curvilinear coordinates are spectrally discretized and time integrated by a second-order mixed explicit/implicit time integration scheme. This scheme is a combination of the Crank-Nicolson scheme operating on the diffusive
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Marti´nez R., Johnny J., and Paulo T. T. Esperanc¸a. "Numerical Simulation of Flow Around a Circular Cylinder Using a Fourier-Chebyshev Collocation Spectral Method." In ASME 2003 22nd International Conference on Offshore Mechanics and Arctic Engineering. ASMEDC, 2003. http://dx.doi.org/10.1115/omae2003-37241.

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Vortex-induced vibrations (VIV) of slender structural elements (marine cables, pipes and risers) are very important aspects to be considered in the design stage of many offshore structures, because the fatigue life of risers installed in deep water are often dominated by VIV effects. Despite the relatively fundamental nature of the problem, a small amount is known about the nature of the fluid-structure interaction. The purpose of this paper is to develop a Fourier-Chebyshev collocation spectral method for computing unsteady two-dimensional viscous incompressible flow past a circular cylinder
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Burbelko, Andriy A., Daniel Gurgul, Edward Fras´, and Edward Guzik. "Multiscale Modeling of Ductile Iron Solidification With Continuous Nucleation by a Cellular Automaton." In ASME 2010 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/detc2010-28764.

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The solidification of metals and alloys is a typical example of multiphysics and multiscale engineering systems. The phenomenon of different time and spatial scales should be taken into consideration in the modeling of a microstructure formation: heat diffusion, the components diffusion in the liquid and solid phases, the thermodynamics of phase transformation under a condition of inhomogeneous chemical composition of growing and vanishing phases, phase interface kinetics, and grains nucleation. The results of a two-dimensional modeling of the microstructure formation in a ductile cast iron ar
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Hayatdavoodi, Masoud. "Boundary Layer and Wake Region Simulation for Low Reynolds Number Flows Around Bluff Bodies Using the Lattice Boltzmann Method." In ASME 2009 28th International Conference on Ocean, Offshore and Arctic Engineering. ASMEDC, 2009. http://dx.doi.org/10.1115/omae2009-79037.

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Two and three-dimensional flows around solid boundaries are interesting and important subjects to both scientists and engineers. Lattice Boltzmann Method (LBM) is a relatively new computational method to simulate fluid flows by tracking the collision, advection and propagation of mesoscopic fluid particles. LBM is originated from the Cellular automata combined with kinetic theory and the Boltzmann equation. The method solves the explicit finite difference scheme lattice Boltzmann equations which are second order in space and first order in time. LBM does not attempt to solve the Navier-Stokes
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Escobar, Jose, Ismail Celik, and Donald Ferguson. "Development of a Log-Time Integration Method for Reactive Flows." In ASME 2012 Fluids Engineering Division Summer Meeting collocated with the ASME 2012 Heat Transfer Summer Conference and the ASME 2012 10th International Conference on Nanochannels, Microchannels, and Minichannels. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/fedsm2012-72090.

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In reactive flow simulations integration of the stiff species transport equations consumes most of the computational time. Another important aspect of combustion simulation is the need to simulate at least tens of species in order to accurately predict emissions and the related combustion dynamics. Small time scales and systems with tens of species lead to very high computational costs. Classic integration methods such as Euler method are restricted by the smallest characteristic time scale, and explicit Runge-Kutta methods require intermediate predictor corrector steps which make the problem
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Felten, Fre´de´ric N., and Gregory M. Laskowski. "Large Eddy Simulations of Fully Developed Flow Through a Spanwise Rotating Infinite Serpentine Passage." In ASME Turbo Expo 2007: Power for Land, Sea, and Air. ASMEDC, 2007. http://dx.doi.org/10.1115/gt2007-27423.

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The ability to predict turbine blade heat transfer is an important problem and is strongly dependant on the ability to predict the turbulent flow-field. Turbine blade internal coolant flow is often subjected to strong curvature and possibly rotational effects, two flow characteristics that make RANS modeling efforts difficult. An assessment of Large Eddy Simulation (LES) has been conducted for a flow with strong streamline curvature and rotational effects. Simulations of fully developed turbulent flow in an isothermal, smooth-wall, serpentine passage have been performed and compared to the Dir
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Das, Shankhadeep, Battalgazi Yildirim, Sanjay R. Mathur, Alina Alexeenko, and Jayathi Y. Murthy. "A Parallel Coupled Ordinates Method for Rarefied Gas Dynamics Simulations." In ASME 2012 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/imece2012-89256.

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Deterministic solution techniques for non-equilibrium rarefied flows in RF MEMS switches are frequently based on the ellipsoidal statistical Bhatnagar-Gross-Krook (ESBGK) form of the Boltzmann kinetic equation. These numerical schemes involve the sequential solution of the distribution function in velocity space. However, these schemes have poor convergence rates, especially at low Knudsen numbers, because of the explicit coupling of the distribution functions in velocity space. Furthermore, parallel implementation of these schemes is inefficient, making simulation of real-life devices practic
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Jiang, Jiamin. "Efficient Localized Nonlinear Solution Strategies for Unconventional-Reservoir Simulation with Complex Fractures." In SPE Reservoir Simulation Conference. SPE, 2021. http://dx.doi.org/10.2118/203987-ms.

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Abstract It is very challenging to simulate unconventional reservoirs efficiently and accurately. Transient flow can last for a long time and sharp solution (pressure, saturation, compositions) gradients are induced because of the severe permeability contrast between fracture and matrix. Although high-resolution models for well and fracture are required to achieve adequate resolution, they are computationally too demanding for practical field models with many stages of hydraulic fracture. The paper aims to innovate localization strategies that take advantage of locality on timestep and Newton
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