A High-Order Method for Weakly Compressible Flows
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Publication:5159014
DOI10.4208/cicp.OA-2017-0028zbMath1488.35436OpenAlexW2735407639MaRDI QIDQ5159014
Publication date: 26 October 2021
Published in: Communications in Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4208/cicp.oa-2017-0028
discontinuous Galerkinasymptotic preservinglow MachIMEX Runge-KuttaRS-IMEXisentropic compressible Euler
Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Euler equations (35Q31)
Related Items
Efficient high-order discontinuous Galerkin computations of low Mach number flows, Asymptotic error analysis of an IMEX Runge-Kutta method, Implicit two-derivative deferred correction time discretization for the discontinuous Galerkin method, Schur complement IMplicit-EXplicit formulations for discontinuous Galerkin non-hydrostatic atmospheric models, An Adaptive High Order WENO Solver for Conservation Laws, A Novel Full-Euler Low Mach Number IMEX Splitting, Asymptotic properties of a class of linearly implicit schemes for weakly compressible Euler equations
Uses Software
Cites Work
- A new stable splitting for singularly perturbed ODEs
- Adaptive discontinuous evolution Galerkin method for dry atmospheric flow
- An asymptotic-preserving all-speed scheme for the Euler and Navier-Stokes equations
- Partitioned and implicit-explicit general linear methods for ordinary differential equations
- Flux splitting for stiff equations: a notion on stability
- Mathematical aspects of discontinuous Galerkin methods.
- A hybridizable discontinuous Galerkin method for Stokes flow
- Some new additive Runge-Kutta methods and their applications
- Preconditioned methods for solving the incompressible and low speed compressible equations
- TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. III: One-dimensional systems
- The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
- On the cancellation problem in calculating compressible low Mach number flows
- Fast singular limits of hyperbolic PDEs
- Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations
- NETGEN: An advancing front 2D/3D-mesh generator based on abstract rules
- Runge--Kutta discontinuous Galerkin methods for convection-dominated problems
- Asymptotic preserving IMEX finite volume schemes for low Mach number Euler equations with gravitation
- A note on the stability of implicit-explicit flux-splittings for stiff systems of hyperbolic conservation laws
- Additive Runge-Kutta schemes for convection-diffusion-reaction equations
- Implicit--explicit time stepping with spatial discontinuous finite elements
- Semi-implicit extension of a Godunov-type scheme based on low Mach number asymptotics. I: One-dimensional flow
- On the behaviour of upwind schemes in the low Mach number limit
- Cancellation problem of preconditioning method at low Mach numbers
- Application of implicit-explicit high order Runge-Kutta methods to discontinuous-Galerkin schemes
- IMEX extensions of linear multistep methods with general monotonicity and boundedness properties
- A class of asymptotic-preserving schemes for kinetic equations and related problems with stiff sources
- An HDG Method for Unsteady Compressible Flows
- Asymptotic Preserving Implicit-Explicit Runge--Kutta Methods for Nonlinear Kinetic Equations
- A generic framework for time-stepping partial differential equations (PDEs): general linear methods, object-oriented implementation and application to fluid problems
- Stability and Error Estimates of Local Discontinuous Galerkin Methods with Implicit-Explicit Time-Marching for Advection-Diffusion Problems
- The Runge-Kutta local projection $P^1$-discontinuous-Galerkin finite element method for scalar conservation laws
- The Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws. IV: The Multidimensional Case
- Error Analysis of IMEX Runge–Kutta Methods Derived from Differential-Algebraic Systems
- High-order semi-implicit time-integrators for a triangular discontinuous Galerkin oceanic shallow water model
- TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
- Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids
- An All-Speed Asymptotic-Preserving Method for the Isentropic Euler and Navier-Stokes Equations
- Implicit-Explicit Methods for Time-Dependent Partial Differential Equations
- Implicit-Explicit Runge--Kutta Schemes for Hyperbolic Systems and Kinetic Equations in the Diffusion Limit
- A Weakly Asymptotic Preserving Low Mach Number Scheme for the Euler Equations of Gas Dynamics
- Semi-Implicit Formulations of the Navier–Stokes Equations: Application to Nonhydrostatic Atmospheric Modeling
- Asymptotic analysis of the RS-IMEX scheme for the shallow water equations in one space dimension
- All Speed Scheme for the Low Mach Number Limit of the Isentropic Euler Equations
- IMEX Large Time Step Finite Volume Methods for Low Froude Number Shallow Water Flows
- A note on the zero Mach number limit of compressible Euler equations
- IMEX Runge-Kutta Schemes and Hyperbolic Systems of Conservation Laws with Stiff Diffusive Relaxation
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