Space-time generalized Riemann problem solvers of order \(k\) for linear advection with unrestricted time step
DOI10.1007/s10915-012-9632-5zbMath1273.65108OpenAlexW2078734132MaRDI QIDQ356771
Rodolphe Turpault, Christophe Berthon, Céline Sarazin
Publication date: 26 July 2013
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-012-9632-5
finite difference methodnumerical exampleslinear advection equationlarge time stepsarbitrary high-order schemeGRP solverssystems of linear conservation laws
Finite difference methods applied to problems in fluid mechanics (76M20) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) First-order hyperbolic equations (35L02)
Related Items
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A simple construction of very high order non-oscillatory compact schemes on unstructured meshes
- Moment preserving schemes for Euler equations
- Explicit one-step time discretizations for discontinuous Galerkin and finite volume schemes based on local predictors
- An asymptotic preserving scheme for the ES-BGK model of the Boltzmann equation
- Very high order \(P_NP_M\) schemes on unstructured meshes for the resistive relativistic MHD equations
- A direct Eulerian GRP scheme for compressible fluid flows
- Arbitrary high order non-oscillatory finite volume schemes on unstructured meshes for linear hyperbolic systems
- A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes
- A generalized Riemann problem for quasi-one-dimensional gas flows
- Application of the generalized Riemann problem method to 1-D compressible flows with material interfaces
- Uniformly high order accurate essentially non-oscillatory schemes. III
- The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
- Weighted essentially non-oscillatory schemes
- Construction of second order accurate monotone and stable residual distribution schemes for unsteady flow problems.
- Hypoelliptic estimates and spectral theory for Fokker-Planck operators and Witten Laplacians
- Space-time discontinuous Galerkin finite element method with dynamic grid motion for inviscid compressible flows. I: General formulation.
- Asymptotic-preserving and well-balanced schemes for radiative transfer and the Rosseland approximation
- Modeling and computational methods for kinetic equations
- Efficient implementation of weighted ENO schemes
- A discontinuous Galerkin scheme based on a space-time expansion. I: Inviscid compressible flow in one space dimension
- Finite volume schemes of very high order of accuracy for stiff hyperbolic balance laws
- On uniformly high-order accurate residual distribution schemes for advection-diffusion
- Space-time discontinuous Galerkin method for the compressible Navier--Stokes equations
- Arbitrary high order discontinuous Galerkin schemes
- GODUNOV-TYPE SCHEMES FOR HYPERBOLIC SYSTEMS WITH PARAMETER-DEPENDENT SOURCE: THE CASE OF EULER SYSTEM WITH FRICTION
- Asymptotic preserving HLL schemes
- LONG TIME SIMULATION OF A BEAM IN A PERIODIC FOCUSING CHANNEL VIA A TWO-SCALE PIC-METHOD
- TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
- Total variation diminishing Runge-Kutta schemes
- Finite Volume Methods for Hyperbolic Problems
- Efficient Asymptotic-Preserving (AP) Schemes For Some Multiscale Kinetic Equations
- Generalized Riemann Problems in Computational Fluid Dynamics
- Implicit Schemes for the Fokker--Planck--Landau Equation
- New two‐dimensional slope limiters for discontinuous Galerkin methods on arbitrary meshes
