A high order cell-centered semi-Lagrangian scheme for multi-dimensional kinetic simulations of neutral gas flows

DOI10.1016/j.jcp.2012.01.008zbMath1402.76112arXiv1305.5477OpenAlexW2083529401MaRDI QIDQ417861

Yaman Güçlü, William N. G. Hitchon

Publication date: 14 May 2012

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.5477

zbMATH Keywords

Boltzmann equationadvectionconvected schemeneutral gas kinetics

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Particle methods and lattice-gas methods (76M28)

Related Items (12)

Towards an ultra efficient kinetic scheme. II: The high order case ⋮ A spectral-Lagrangian Boltzmann solver for a multi-energy level gas ⋮ Arbitrarily high order convected scheme solution of the Vlasov-Poisson system ⋮ Noiseless Vlasov-Poisson simulations with linearly transformed particles ⋮ An efficient numerical method for solving the Boltzmann equation in multidimensions ⋮ A truly forward semi-Lagrangian WENO scheme for the Vlasov-Poisson system ⋮ A class of low dissipative schemes for solving kinetic equations ⋮ Fast Kinetic Scheme: Efficient MPI Parallelization Strategy for 3D Boltzmann Equation ⋮ Towards an ultra efficient kinetic scheme. part III: high-performance-computing ⋮ Implicit discontinuous Galerkin method for the Boltzmann equation ⋮ A performance comparison of semi-Lagrangian discontinuous Galerkin and spline based Vlasov solvers in four dimensions ⋮ Quantum algorithm for the collisionless Boltzmann equation

Uses Software

• SHASTA

Cites Work

• Kinetic description of flow past a micro-plate
• The multidimensional positive definite advection transport algorithm: Nonoscillatory option
• On sub-linear convergence for linearly degenerate waves in capturing schemes
• High resolution schemes for hyperbolic conservation laws
• The modified equation approach to the stability and accuracy analysis of finite-difference methods
• Towards the ultimate conservative difference scheme. II: Monotonicity and conservation combined in a second-order scheme
• Accelerated solution of the Boltzmann equation
• Convective scheme solution of the Boltzmann transport equation for nanoscale semiconductor devices
• Direct simulation of gas flows at the molecular level
• High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws
• Antidiffusive Velocities for Multipass Donor Cell Advection
• Local Piecewise Hyperbolic Reconstruction of Numerical Fluxes for Nonlinear Scalar Conservation Laws
• Convergence Analysis for a Class of High-Order Semi-Lagrangian Advection Schemes
• Limiter-Free Third Order Logarithmic Reconstruction
• Study of rarefied shear flow by the discrete velocity method
• A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems
• Flux-corrected transport. I: SHASTA, a fluid transport algorithm that works
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