Shock-capturing exponential multigrid methods for steady compressible flows

DOI10.1134/S0965542522080085zbMath1497.76050WikidataQ115525982 ScholiaQ115525982MaRDI QIDQ2172358

Yanyan Li

Publication date: 15 September 2022

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

shock capturingexponential time discretizationfirst-order finite volume spatial discretizationmodal discontinuous Galerkin finite element methodpreconditioned Runge-Kutta method

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Finite volume methods applied to problems in fluid mechanics (76M12) Gas dynamics (general theory) (76N15) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items

Unified Solution of Conjugate Fluid and Solid Heat Transfer–Part I. Solid Heat Conduction

Cites Work

• Unnamed Item
• Towards shock-stable and accurate hypersonic heating computations: a new pressure flux for AUSM-family schemes
• \(p\)-multigrid solution of high-order discontinuous Galerkin discretizations of the compressible Navier-Stokes equations
• Implementation of exponential Rosenbrock-type integrators
• Approximate Riemann solvers, parameter vectors, and difference schemes
• An exponential time-integrator scheme for steady and unsteady inviscid flows
• Mesh curving and refinement based on cubic Bézier surface for high-order discontinuous Galerkin methods
• Spectral p-multigrid discontinuous Galerkin solution of the Navier-Stokes equations
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Analysis of Some Krylov Subspace Approximations to the Matrix Exponential Operator
• Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later