A comparison of Rosenbrock and ESDIRK methods combined with iterative solvers for unsteady compressible flows

DOI10.1007/s10444-016-9468-xzbMath1388.76166OpenAlexW2460693193WikidataQ59469209 ScholiaQ59469209MaRDI QIDQ2374382

Hester Bijl, Fleur Kessels, Andreas Meister, Philipp Birken, D. S. Blom, Alexander H. van Zuijlen

Publication date: 15 December 2016

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-016-9468-x

zbMATH Keywords

Navier-Stokes equationsRosenbrock methodsunsteady flowsJacobian-free Newton-Krylovtime adaptivityESDIRK

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Compressible fluids and gas dynamics (76Nxx)

Related Items (15)

Development of a balanced adaptive time-stepping strategy based on an implicit JFNK-DG compressible flow solver ⋮ On the efficiency of a matrix-free linearly implicit time integration strategy for high-order discontinuous Galerkin solutions of incompressible turbulent flows ⋮ An adaptive step size controller for iterative implicit methods ⋮ Conservation properties of iterative methods for implicit discretizations of conservation laws ⋮ A nearly-conservative, high-order, forward Lagrange-Galerkin method for the resolution of compressible flows on unstructured triangular meshes ⋮ Robustness and efficiency of an implicit time-adaptive discontinuous Galerkin solver for unsteady flows ⋮ Implicit two-derivative deferred correction time discretization for the discontinuous Galerkin method ⋮ Comparison of ROW, ESDIRK, and BDF2 for unsteady flows with the high-order flux reconstruction formulation ⋮ Time parallelism and Newton-adaptivity of the two-derivative deferred correction discontinuous Galerkin method ⋮ A low-dissipation DG method for the under-resolved simulation of low Mach number turbulent flows ⋮ A direct discontinuous Galerkin method for the incompressible Navier-Stokes equations on arbitrary grids ⋮ On the effect of temporal error in high-order simulations of unsteady flows ⋮ Application of the rosenbrock methods to the solution of unsteady 3D incompressible Navier-Stokes equations ⋮ A numerical third-order method for solving the Navier-Stokes equations with respect to time ⋮ Efficient adaptive step size control for exponential integrators

Uses Software

• SUNDIALS
• ROWMAP
• L2Roe

Cites Work

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• SUNDIALS
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