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Relevant bibliographies by topics / Harten Lax van Leer

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Academic literature on the topic 'Harten Lax van Leer'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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Journal articles on the topic "Harten Lax van Leer"

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Prebeg, Marin, Tore Flåtten, and Bernhard Müller. "Large time step HLL and HLLC schemes." ESAIM: Mathematical Modelling and Numerical Analysis 52, no. 4 (2018): 1239–60. http://dx.doi.org/10.1051/m2an/2017051.

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We present Large Time Step (LTS) extensions of the Harten-Lax-van Leer (HLL) and Harten-Lax-van Leer-Contact (HLLC) schemes. Herein, LTS denotes a class of explicit methods stable for Courant numbers greater than one. The original LTS method (R.J. LeVeque, SIAM J. Numer. Anal. 22 (1985) 1051–1073) was constructed as an extension of the Godunov scheme, and successive versions have been developed in the framework of Roe's approximate Riemann solver. In this paper, we formulate the LTS extension of the HLL and HLLC schemes in conservation form. We provide explicit expressions for the flux-differe

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Luo, Hong, Joseph D. Baum, and Rainald Lohner. "Extension of Harten-Lax-van Leer Scheme for Flows at All Speeds." AIAA Journal 43, no. 6 (2005): 1160–66. http://dx.doi.org/10.2514/1.7567.

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Mignone, A., M. Ugliano, and G. Bodo. "A five-wave Harten-Lax-van Leer Riemann solver for relativistic magnetohydrodynamics." Monthly Notices of the Royal Astronomical Society 393, no. 4 (2009): 1141–56. http://dx.doi.org/10.1111/j.1365-2966.2008.14221.x.

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Toro, E. F., and A. Chakraborty. "The development of a Riemann solver for the steady supersonic Euler equations." Aeronautical Journal 98, no. 979 (1994): 325–39. http://dx.doi.org/10.1017/s0001924000026890.

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Abstract An improved version (HLLC) of the Harten, Lax, van Leer Riemann solver (HLL) for the steady supersonic Euler equations is presented. Unlike the HLL, the HLLC version admits the presence of the slip line in the structure of the solution. This leads to enhanced resolution of computed slip lines by Godunov type methods. We assess the HLLC solver in the context of the first order Godunov method and the second order weighted average flux method (WAF). It is shown that the improvement embodied in the HLLC solver over the HLL solver is virtually equivalent to incorporating the exact Riemann

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Pu, Jaan Hui, Zhumabay Bakenov, and Desmond Adair. "Advanced Numerical Solver for Dam-Break Flow Application." Eurasian Chemico-Technological Journal 14, no. 1 (2011): 73. http://dx.doi.org/10.18321/ectj102.

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In this paper, a HLL (Harten Lax van Leer) approximate Riemann solver with MUSCL scheme (Monotonic Upwind Schemes for Conservative Laws) is implemented in the presented FV (Finite Volume) model. The presented model is used to simulate different dam-break flow events to verify its capability. Four test cases are presented in this paper. In the first test case, a 1-Dimensional (1D) dambreak flow is simulated over a rectangular channel with different slope limiters of the FV model (namely Godunov, Superbee, Minmod, van Leer, and van Albada). The second test case consists of a simulation of shallo

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Cheng, Junbo. "Harten-Lax-van Leer-contact (HLLC) approximation Riemann solver with elastic waves for one-dimensional elastic-plastic problems." Applied Mathematics and Mechanics 37, no. 11 (2016): 1517–38. http://dx.doi.org/10.1007/s10483-016-2104-9.

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Chen, Shangzhi, Feifei Zheng, and Xin Liu. "Augmented HLL Riemann solver including slope source term for 1D mixed pipe flows." Journal of Hydroinformatics 23, no. 4 (2021): 831–48. http://dx.doi.org/10.2166/hydro.2021.155.

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Abstract In this paper, the augmented version of finite volume Harten–Lax–van Leer (HLL) solver, including source terms, is extended to free-surface and pressurized mixed pipe flows over complex and frictional topography. This augmented HLL Riemann solver is employed for the flux approximation at the cell interface, where source terms are split into two parts based on the wave propagation speed. The friction term is treated using a splitting implicit method to maintain stability over dry beds. The Preissmann slot method is adopted to reproduce pressurized flow in the conduit. The performances

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Coquel, Frédéric, Khaled Saleh, and Nicolas Seguin. "A robust and entropy-satisfying numerical scheme for fluid flows in discontinuous nozzles." Mathematical Models and Methods in Applied Sciences 24, no. 10 (2014): 2043–83. http://dx.doi.org/10.1142/s0218202514500158.

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We propose in this work an original finite volume scheme for the system of gas dynamics in a nozzle. Our numerical method is based on a piecewise constant discretization of the cross-section and on an approximate Riemann solver in the sense of Harten, Lax and van Leer. The solver is obtained by the use of a relaxation approximation that leads to a positive and entropy satisfying numerical scheme for all variation of section, even discontinuous sections with arbitrary large jumps. To do so, we introduce, in the first step of the relaxation solver, a singular dissipation measure superposed on th

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Gallerano, Francesco, Giovanni Cannata, and Federica Palleschi. "Hydrodynamic Effects Produced by Submerged Breakwaters in a Coastal Area with a Curvilinear Shoreline." Journal of Marine Science and Engineering 7, no. 10 (2019): 337. http://dx.doi.org/10.3390/jmse7100337.

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A three-dimensional numerical study of the hydrodynamic effect produced by a system of submerged breakwaters in a coastal area with a curvilinear shoreline is proposed. The three-dimensional model is based on an integral contravariant formulation of the Navier-Stokes equations in a time-dependent curvilinear coordinate system. The integral form of the contravariant Navier-Stokes equations is numerically integrated by a finite-volume shock-capturing scheme which uses Monotonic Upwind Scheme for Conservation Laws Total Variation Diminishing (MUSCL-TVD) reconstructions and an Harten Lax van Leer

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Gunawan, Putu Harry, and Ardhito Utomo. "Shared Memory Architecture for Simulating Sediment-Fluid Flow by OpenMP." Jurnal Ilmu Komputer dan Informasi 12, no. 1 (2019): 31. http://dx.doi.org/10.21609/jiki.v12i1.635.

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Simulation of fluid flow using Shallow water equations (SWE) and sediment movement below it using Exner equation is given. Both of the equations will be combined using splitting technique, in which SWE would be computed using Harten-Lax-van Leer and Einfeldt (HLLE) numerical flux, then Exner would be computed semi-implicitly. This paper elaborates the steps of constructing SWE-Exner model. To show the agreement of the scheme, two problems will be elaborated: (1) comparison between analytical solution and numerical solution, and (2) parallelism using OpenMP for Transcritical over a granular bum

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Dissertations / Theses on the topic "Harten Lax van Leer"

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Cueille, Pierre Victor. "Modélisation par Smoothed Particle Hydrodynamic des phénomènes de diffusion présents dans un écoulement." Toulouse, INSA, 2005. http://eprint.insa-toulouse.fr/archive/00000282/.

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Différents problèmes de Mécanique des Fluides sont étudiés avec la méthode lagrangienne Smoothed Particle Hydrodynamics, en mettant en oeuvre des schémas numériques existants ou modifiés. Dans le formalisme SPH, les équations de conservation se ramènent à des Equations Différentielles Ordinaires en temps, dont l'intégration est limitée par des conditions de stabilité de type Lipschitz. Dans le cas d'un écoulement de Poiseuille à bas nombre de Reynolds, une résolution implicite de l'équation de conservation de la quantité de mouvement a été implémentée. Elle permet des gains de temps-calcul imp

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Chi-YehLiu and 劉季燁. "Hybrid OpenMP/AVX Acceleration of a Split Harten, Lax and van Leer Method for the Euler Equations." Thesis, 2014. http://ndltd.ncl.edu.tw/handle/85267696738466706431.

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碩士<br>國立成功大學<br>機械工程學系<br>102<br>Presented is the Split Harten, Lax and van Leer (SHLL) method applied to parallel computation using a hybrid OpenMP/AVX (Advanced Vector eXtensions) parallelization paradigm. The governing equations in each directional coordinate of SHLL method have been mathematically vector split for the purpose of parallelization. This splitting results in a high degree of locality and has been previously successfully applied to parallel computation using Graphics Processing Units (GPU). The same principles which allow high performance on GPU devices also permit high perform

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Pu, Jaan H., Z. Bakenov, and D. Adair. "Advanced numerical solver for dam-break flow application." 2012. http://hdl.handle.net/10454/11564.

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Pu, Jaan H., N. Cheng, S. K. Tan, and Songdong Shao. "Source term treatment of SWEs using surface gradient upwind method." 2012. http://hdl.handle.net/10454/11563.

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No<br>Owing to unpredictable bed topography conditions in natural shallow flows, various numerical methods have been developed to improve the treatment of source terms in the shallow water equations. The surface gradient method is an attractive approach as it includes a numerically simple approach to model flows over topographically-varied channels. To further improve the performance of this method, this study deals with the numerical improvement of the shallow-flow source terms. The so-called surface gradient upwind method (SGUM) integrates the source term treatment in the inviscid discre

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Pu, Jaan H., Songdong Shao, and Y. Huang. "Shallow sediment transport flow computation using time-varying sediment adaptation length." 2014. http://hdl.handle.net/10454/8342.

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Yes<br>Based on the common approach, the adaptation length in sediment transport is normally estimated in the temporal independence. However, this approach might not be theoretically justified as the process of reaching of the sediment transport equilibrium stage is affected by the flow conditions in time, especially for those fast sediment moving flows, such as scour-hole developing flow. In this study, the 2D shallow water formulation together with a sediment continuity-concentration (SCC) model were applied to flow with mobile sediment boundary. A time-varying approach was proposed to

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Book chapters on the topic "Harten Lax van Leer"

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Mignone, A., G. Bodo, and M. Ugliano. "Approximate Harten-Lax-van Leer Riemann solvers for relativistic magnetohydrodynamics." In Numerical Methods for Hyperbolic Equations. CRC Press, 2012. http://dx.doi.org/10.1201/b14172-29.

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Conference papers on the topic "Harten Lax van Leer"

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Feng, Fan, Chunwei Gu, and Xuesong Li. "Discontinuous Galerkin Solution of Three-Dimensional Reynolds-Averaged Navier-Stokes Equations With S-A Turbulence Model." In ASME Turbo Expo 2010: Power for Land, Sea, and Air. ASMEDC, 2010. http://dx.doi.org/10.1115/gt2010-23133.

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In this paper Discontinuous Galerkin Method (DGM) is applied to solve the Reynolds-averaged Navier-Stokes equations and S-A turbulence model equation in curvilinear coordinate system. Different schemes, including Lax-Friedrichs (LF) flux, Harten, Lax and van Leer (HLL) flux and Roe flux are adopted as numerical flux of inviscid terms at the element interface. The gradients of conservative variables in viscous terms are constructed by mixed formulation, which solves the gradients as auxiliary unknowns to the same order of accuracy as conservative variables. The methodology is validated by simul

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GEORGIEVSKIY, P. YU. "DETONATION INITIATION IN COMBUSTIBLE GAS MIXTURE UPON INTERACTION OF A SHOCK WAVE WITH AN INERT GAS BUBBLE." In 12TH INTERNATIONAL COLLOQUIUM ON PULSED AND CONTINUOUS DETONATIONS. TORUS PRESS, 2020. http://dx.doi.org/10.30826/icpcd12a04.

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On the basis of the Euler equations for a perfect gas with an inhomo-geneous distribution of molar mass, the interaction of a shock wave in a combustible gas with an elliptic bubble of an inert gas of elevated density is simulated in planar two-dimensional (2D) formulation. Various values of the Mach number M of the incident wave and the ratio of bubble axles are considered. A finite-volume Godunov-type method of the second order of approximation with HLLC (Harten-Lax-van Leer Contact) Riemann solver is used for numerical simulation. The combustion reaction of the gas mixture is modeled using

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Lagumbay, Randy S., Oleg V. Vasilyev, Andreas Haselbacher, and Jin Wang. "Numerical Simulation of a Supersonic Three-Phase Cavitating Jet Flow Through a Gaseous Medium in Injection Nozzle." In ASME 2005 International Mechanical Engineering Congress and Exposition. ASMEDC, 2005. http://dx.doi.org/10.1115/imece2005-82948.

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A new multiphase mathematical model based on a mixture formulation of the laws of conservation for a multiphase flow is used to simulate a supersonic three-phase cavitating jet flow through a gaseous medium. The model does not require an adhoc closure for the variation of mixture density with regards to the attendant pressure and yields a thermodynamically accurate value for the acoustical propagation generated by the process. A source term for cavitation is added into the equations of the mixture formulation and the resultant cavitation is mathematically modeled accordingly. The new numerical

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Bang, Young Seok, Gil-Soo Lee, Byung-Gil Huh, Deog-Yeon Oh, and Sweng-Woong Woo. "Transient Flow Field on Containment Floor Predicted by Two-Dimensional Shallow Equation Solver." In 17th International Conference on Nuclear Engineering. ASMEDC, 2009. http://dx.doi.org/10.1115/icone17-75183.

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For the analysis of debris transport on containment floor, a model to predict the flow field should have a fast-running capability and high accuracy. A model is developed to calculate the transient flow field on the containment floor involving a complex geometry in the advanced pressurized water reactor (PWR) such as Advanced Power Reactor (APR)-1400, which does not have a switchover from injection to recirculation following a loss-of-coolant accident (LOCA). Two-dimensional shallow water equation (SWE) is solved using the finite volume method (FVM). Unstructured triangular meshes are used to

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Chalet, David, Pascal Chesse, Jean-Franc¸ois Hetet, and Xavier Tauzia. "Some Basic Elements to Achieve a Future 1D Simulation of Wave Propagation in I.C.E. Pipes." In ASME 2002 Internal Combustion Engine Division Spring Technical Conference. ASMEDC, 2002. http://dx.doi.org/10.1115/ices2002-449.

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The assumption of one-dimensional unsteady flows in the inlet and exhaust systems of turbocharged diesel engines is widely used although multi-dimensional simulations using fluid dynamics are also possible. However, difficulties persist concerning the boundary conditions, particularly at the pipe ends (inflow or outflow) and at the intra-pipe boundary conditions (sudden or gradual area changes, bends, junctions, etc.). This paper focuses on the two first steps leading to a 1D flow simulation code: the selection of a numerical scheme and the study of an open end boundary condition. The first se

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