On the implementation of a robust and efficient finite element-based parallel solver for the compressible Navier-Stokes equations
DOI10.1016/j.cma.2021.114250OpenAlexW3217436890MaRDI QIDQ2072420
Martin Kronbichler, Ignacio Tomas, Matthias Maier, Bojan Popov, Jean-Luc Guermond
Publication date: 26 January 2022
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2106.02159
finite element methodcompressible Navier-Stokes equationsinvariant domainshigh-order methodconvex limitinghyperbolic conservation equations
Navier-Stokes equations (35Q30) Hyperbolic conservation laws (35L65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Compressible Navier-Stokes equations (76N06)
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Cites Work
- A correction technique for the dispersive effects of mass lumping for transport problems
- Fast estimation from above of the maximum wave speed in the Riemann problem for the Euler equations
- Fully multidimensional flux-corrected transport algorithms for fluids
- A new finite element method for solving compressible Navier-Stokes equations based on an operator splitting method and h-p adaptivity
- Numerical simulation of the viscous shock tube problem by using a high resolution monotonicity-preserving scheme
- Efficient solution algorithms for the Riemann problem for real gases
- Efficient implementation of essentially nonoscillatory shock-capturing schemes
- Contractivity of Runge-Kutta methods
- Nonreflecting boundary conditions for nonlinear hyperbolic systems
- On positivity-preserving high order discontinuous Galerkin schemes for compressible Navier-Stokes equations
- Invariant domain preserving discretization-independent schemes and convex limiting for hyperbolic systems
- Second-order invariant domain preserving approximation of the compressible Navier-Stokes equations
- The deal.II library, version 9.2
- The \textsc{deal.II} finite element library: design, features, and insights
- A generic interface for parallel cell-based finite element operator application
- Comparison of outflow boundary conditions for subsonic aeroacoustic simulations
- A Second-Order Maximum Principle Preserving Lagrange Finite Element Technique for Nonlinear Scalar Conservation Equations
- Algorithms and data structures for massively parallel generic adaptive finite element codes
- p4est: Scalable Algorithms for Parallel Adaptive Mesh Refinement on Forests of Octrees
- Invariant Domains and First-Order Continuous Finite Element Approximation for Hyperbolic Systems
- An unconditionally stable finite element-finite volume pressure correction scheme for the drift-flux model
- Riemann Solvers and Numerical Methods for Fluid Dynamics
- An Implicit Factored Scheme for the Compressible Navier-Stokes Equations
- Second-Order Invariant Domain Preserving Approximation of the Euler Equations Using Convex Limiting
- A Performance Comparison of Continuous and Discontinuous Galerkin Methods with Fast Multigrid Solvers
- Fast Matrix-Free Evaluation of Discontinuous Galerkin Finite Element Operators
- An unconditionally stable staggered pressure correction scheme for the compressible Navier-Stokes equations
- Propagating Geometry Information to Finite Element Computations
- A Flexible, Parallel, Adaptive Geometric Multigrid Method for FEM
- Generalized barycentric coordinates and applications
- Analytical shock solutions at large and small Prandtl number
- Flux-corrected transport. I: SHASTA, a fluid transport algorithm that works
- Evaluation of TVD high-resolution schemes for unsteady viscous shocked flows
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