Locally adaptive pseudo-time stepping for high-order flux reconstruction

DOI10.1016/j.jcp.2019.108913zbMath1453.65335OpenAlexW2970316691MaRDI QIDQ2222607

P. E. Vincent, F. D. Witherden, Niki A. Loppi, Anthony Jameson

Publication date: 27 January 2021

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10044/1/73314

zbMATH Keywords

convergence accelerationincompressible flowsartificial compressibilityflux reconstructiondual time steppingmodern hardware

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) 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) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items (12)

An implicit HDG method for linear convection-diffusion with dual time stepping ⋮ A purely hyperbolic discontinuous Galerkin approach for self-gravitating gas dynamics ⋮ Non-modal analysis of linear multigrid schemes for the high-order flux reconstruction method ⋮ EBR schemes with curvilinear reconstructions for hybrid meshes ⋮ Length-scales for efficient CFL conditions in high-order methods with distorted meshes: application to local-timestepping for \(p\)-multigrid ⋮ A high-order entropically-damped artificial compressibility approach on moving and deforming domains ⋮ Optimal embedded pair Runge-Kutta schemes for pseudo-time stepping ⋮ Heterogeneous CPU+GPU parallelization for high-accuracy scale-resolving simulations of compressible turbulent flows on hybrid supercomputers ⋮ Hyperbolic diffusion in flux reconstruction: optimisation through kernel fusion within tensor-product elements ⋮ On explicit discontinuous Galerkin methods for conservation laws ⋮ Artificial compressibility approaches in flux reconstruction for incompressible viscous flow simulations ⋮ Nonlinear \(p\)-multigrid preconditioner for implicit time integration of compressible Navier-Stokes equations with \(p\)-adaptive flux reconstruction

Uses Software

• RODAS
• ACADO
• PyFR

Cites Work

• Unnamed Item
• On the non-linear stability of flux reconstruction schemes
• Symmetric quadrature rules for tetrahedra based on a cubic close-packed lattice arrangement
• An analysis of solution point coordinates for flux reconstruction schemes on triangular elements
• \(p\)-multigrid solution of high-order discontinuous Galerkin discretizations of the compressible Navier-Stokes equations
• A new class of high-order energy stable flux reconstruction schemes
• Insights from von Neumann analysis of high-order flux reconstruction schemes
• An artificial compressibility flux for the discontinuous Galerkin solution of the incompressible Navier--Stokes equations
• A numerical method for solving incompressible viscous flow problems. Reprint
• Low-storage, explicit Runge-Kutta schemes for the compressible Navier-Stokes equations
• Optimal Runge-Kutta schemes for pseudo time-stepping with high-order unstructured methods
• A high-order solver for unsteady incompressible Navier-Stokes equations using the flux reconstruction method on unstructured grids with implicit dual time stepping
• ACADO toolkit-An open-source framework for automatic control and dynamic optimization
• Influences of element size and variable smoothing on inviscid compressible flow solution
• An efficient artificial compressibility (AC) scheme based on the characteristic based split (CBS) method for incompressible flows
• An improved unsteady, unstructured, artificial compressibility, finite volume scheme for viscous incompressible flows: Part I. Theory and implementation
• A high-order cross-platform incompressible Navier-Stokes solver via artificial compressibility with application to a turbulent jet

This page was built for publication: Locally adaptive pseudo-time stepping for high-order flux reconstruction