A class of low dissipative schemes for solving kinetic equations

DOI10.1007/s10915-018-0776-9zbMath1410.76402OpenAlexW2809908704MaRDI QIDQ1736907

Raphaël Loubère, Giacomo Dimarco, Cory D. Hauck

Publication date: 26 March 2019

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-018-0776-9

zbMATH Keywords

Boltzmann equationsemi-Lagrangian schemeskinetic equationsrarefied gas dynamicshigh-order schemes

Mathematics Subject Classification ID

Related Items (3)

Arbitrary Lagrangian-Eulerian discrete velocity method with application to laser-induced plume expansion ⋮ Burnett Spectral Method for High-Speed Rarefied Gas Flows ⋮ A class of low dissipative schemes for solving kinetic equations

Uses Software

• Boltzmann

Cites Work

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• High order semi-Lagrangian methods for the BGK equation
• Boundary conditions for semi-Lagrangian methods for the BGK model
• Towards an ultra efficient kinetic scheme. I: Basics on the BGK equation
• Towards an ultra efficient kinetic scheme. II: The high order case
• Arbitrarily high order convected scheme solution of the Vlasov-Poisson system
• An asymptotic-preserving semi-Lagrangian algorithm for the time-dependent anisotropic heat transport equation
• A high order cell-centered semi-Lagrangian scheme for multi-dimensional kinetic simulations of neutral gas flows
• A forward semi-Lagrangian method for the numerical solution of the Vlasov equation
• High order maximum principle preserving semi-Lagrangian finite difference WENO schemes for the Vlasov equation
• A conservative high order semi-Lagrangian WENO method for the Vlasov equation
• Spectral-Lagrangian methods for collisional models of non-equilibrium statistical states
• The Boltzmann equation and its applications
• A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
• The semi-Lagrangian method for the numerical resolution of the Vlasov equation
• Existence, stability, and convergence of solutions of discrete velocity models to the Boltzmann equation
• The mathematical theory of dilute gases
• Numerical integration of the Vlasov equation
• An efficient numerical method for solving the Boltzmann equation in multidimensions
• A class of low dissipative schemes for solving kinetic equations
• High order numerical methods for the space non-homogeneous Boltzmann equation.
• The moment guided Monte Carlo method for the Boltzmann equation
• Conservative semi-Lagrangian schemes for Vlasov equations
• A low-variance deviational simulation Monte Carlo for the Boltzmann equation
• DISCRETE VELOCITY MODEL AND IMPLICIT SCHEME FOR THE BGK EQUATION OF RAREFIED GAS DYNAMICS
• Asymptotic Preserving Implicit-Explicit Runge--Kutta Methods for Nonlinear Kinetic Equations
• Fluid Solver Independent Hybrid Methods for Multiscale Kinetic Equations
• Exponential Runge–Kutta Methods for Stiff Kinetic Equations
• ABOUT THE SPLITTING ALGORITHM FOR BOLTZMANN AND B.G.K. EQUATIONS
• The moment-guided Monte Carlo method
• Fast algorithms for computing the Boltzmann collision operator
• Solving the Boltzmann Equation in N log₂N
• Low-variance deviational simulation Monte Carlo
• A Consistency Result for a Discrete-Velocity Model of the Boltzmann Equation
• Numerical Solution of the Boltzmann Equation I: Spectrally Accurate Approximation of the Collision Operator
• Conservative Semi-Lagrangian Finite Difference WENO Formulations with Applications to the Vlasov Equation
• Numerical methods for kinetic equations
• Efficient Asymptotic-Preserving (AP) Schemes For Some Multiscale Kinetic Equations
• A Fast Spectral Method for the Boltzmann Collision Operator with General Collision Kernels
• A Collision-Based Hybrid Method for Time-Dependent, Linear, Kinetic Transport Equations
• On the Construction and Comparison of Difference Schemes
• A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems
• Fast spectral methods for the Fokker-Planck-Landau collision operator.
• Conservative numerical schemes for the Vlasov equation

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