OpenMP + MPI parallel implementation of a numerical method for solving a kinetic equation

DOI10.1134/S0965542516110129zbMath1415.65295MaRDI QIDQ518549

A. V. Chikitkin, Sergey V. Utyuzhnikov, Vladimir Titarev

Publication date: 28 March 2017

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

MPIunstructured meshOpenMPS-modelimplicit TVD schemecomputational rarefied gas dynamicssupercomputer computations

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Parallel numerical computation (65Y05) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (14)

Unsteady rarefied gas flow with shock wave in a channel ⋮ Numerical modeling of high-speed rarefied gas flows over blunt bodies using model kinetic equations ⋮ Arbitrary Lagrangian-Eulerian discrete velocity method with application to laser-induced plume expansion ⋮ A method for simulating the dynamics of rarefied gas based on lattice Boltzmann equations and the BGK equation ⋮ A multi-level parallel solver for rarefied gas flows in porous media ⋮ Numerical solution of the Boltzmann equation with S-model collision integral using tensor decompositions ⋮ Evolution of the shape of a gas cloud during pulsed laser evaporation into vacuum: direct simulation Monte Carlo and the solution of a model equation ⋮ Numerical analysis of rarefied gas flow through a system of short channels ⋮ An efficient numerical method for solving the Boltzmann equation in multidimensions ⋮ A multithreaded OpenMP implementation of the LU-SGS method using the multilevel decomposition of the unstructured computational mesh ⋮ A hybrid method for the computation of a rarefied gas jet efflux through a very long channel into vacuum ⋮ An improved three-dimensional implicit discrete velocity method on unstructured meshes for all Knudsen number flows ⋮ Application of model kinetic equations to hypersonic rarefied gas flows ⋮ Comparison of the Shakhov kinetic equation and DSMC method as applied to space vehicle aerothermodynamics

Uses Software

• MPI
• NOISETTE
• nesvetai-3D

Cites Work

• Construction and comparison of parallel implicit kinetic solvers in three spatial dimensions
• Locally refined discrete velocity grids for stationary rarefied flow simulations
• A high-performance, portable implementation of the MPI message passing interface standard
• Unified solver for rarefied and continuum flows with adaptive mesh and algorithm refinement
• Conservative numerical methods for model kinetic equations
• Discrete-velocity models and numerical schemes for the Boltzmann-BGK equation in plane and axisymmetric geometries
• Variational method for untangling and optimization of spatial meshes
• Parallel technology for numerical modeling of fluid dynamics problems by high-accuracy algorithms
• Quadrature-free non-oscillatory finite volume schemes on unstructured meshes for nonlinear hyperbolic systems
• Implicit numerical method for computing three-dimensional rarefied gas flows on unstructured meshes
• Gas-dynamic boundary conditions of evaporation and condensation: Numerical analysis of the Knudsen layer
• Parallel Multilevel series k-Way Partitioning Scheme for Irregular Graphs
• Efficient Deterministic Modelling of Three-Dimensional Rarefied Gas Flows
• Implicit multiblock method for solving a kinetic equation on unstructured meshes

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