An edge-based stabilized finite element method for solving compressible flows: formulation and parallel implementation.

DOI10.1016/S0045-7825(01)00264-XzbMath1116.76391MaRDI QIDQ5955334

Ali Rebaine, Azzeddine Soulaimani, Yousef Saad

Publication date: 13 February 2002

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

zbMATH Keywords

Finite element methodIterative methodsParallel computingCompressible flowsUpwindingWings

Mathematics Subject Classification ID

Gas dynamics (general theory) (76N15) Finite element methods applied to problems in fluid mechanics (76M10) Parallel numerical computation (65Y05)

Related Items

Multi-GPU implementation of a time-explicit finite volume solver using CUDA and a CUDA-aware version of OpenMPI with application to shallow water flows ⋮ An unstructured finite element method for solving the compressible RANS equations and the Spalart-Allmaras turbulence model ⋮ A fully coupled RANS Spalart-Allmaras SUPG formulation for turbulent compressible flows on stretched-unstructured grids ⋮ Parallel implementation of the finite element method using compressed data structures ⋮ A positivity preserving finite element-finite volume solver for the Spalart-Allmaras turbulence model

Uses Software

• P-SPARSLIB
• Spalart-Allmaras

Cites Work

• Unnamed Item
• Unnamed Item
• Finite element methods for first-order hyperbolic systems with particular emphasis on the compressible Euler equations
• A new finite element formulation for computational fluid dynamics. VIII. The Galerkin/least-squares method for advective-diffusive equations
• An adaptive finite element procedure for compressible high speed flows
• A new finite element formulation for computational fluid dynamics. I: Symmetric forms of the compressible Euler and Navier-Stokes equations and the second law of thermodynamics
• A new finite element formulation for computational fluid dynamics. III: The generalized streamline operator for multidimensional advective- diffusive systems
• Approximate Riemann solvers, parameter vectors, and difference schemes
• Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
• Explicit streamline diffusion finite element methods for the compressible Euler equations in conservation variables
• Finite element solution of compressible viscous flows using conservative variables
• A finite element formulation of compressible flows using various sets of independent variables
• SUPG finite element computation of compressible flows with the entropy and conservation variables formulations
• A Taylor-Galerkin method for convective transport problems
• The Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws. IV: The Multidimensional Case
• A Fast and High Quality Multilevel Scheme for Partitioning Irregular Graphs
• Computational Gasdynamics
• Distributed Schur Complement Techniques for General Sparse Linear Systems