Asynchronous numerical scheme for modeling hyperbolic systems

DOI10.1016/j.crma.2015.06.010zbMath1323.65097OpenAlexW1038104158MaRDI QIDQ496081

Ronan Perrussel, Guillaume Dufour, Thomas Unfer, Asma Toumi

Publication date: 16 September 2015

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2015.06.010

zbMATH Keywords

stabilityconvergencenumerical examplestransport equationRunge-Kutta methodupwind asynchronous forward Euler scheme

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Initial value problems for first-order hyperbolic equations (35L03)

Related Items (4)

Third order asynchronous time integration for gas dynamics ⋮ Second order accurate asynchronous scheme for modeling linear partial differential equations ⋮ On some explicit local time stepping finite volume schemes for CFD ⋮ Analysis and design of a local time stepping scheme for LES acceleration in reactive and non-reactive flow simulations

Cites Work

• Asynchronous variational integrators
• Convergence of an explicit finite volume scheme for first order symmetric systems
• An asynchronous framework for the simulation of the plasma/flow interaction
• An asynchronous scheme with local time stepping for multi-scale transport problems: Application to gas discharges
• Self-adaptive time integration of flux-conservative equations with sources
• Numerical Approximations to Nonlinear Conservation Laws with Locally Varying Time and Space Grids
• Runge--Kutta-Based Explicit Local Time-Stepping Methods for Wave Propagation
• Error Estimate and the Geometric Corrector for the Upwind Finite Volume Method Applied to the Linear Advection Equation

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