An implicit high order finite volume scheme for the solution of 3D Navier–Stokes equations with new discretization of diffusive terms

• Published in: Journal of computational and applied mathematics Vol. 215; no. 2; pp. 595 - 601
• Main Authors: Vaassen, J.-M., Vigneron, D., Essers, J.-A.
• Format: Journal Article Conference Proceeding Web Resource
• Language: English
• Published: Amsterdam Elsevier B.V 01.06.2008; Elsevier
• Subjects: Aerospace & aeronautics engineering; CFD; Consistent viscous scheme; Engineering, computing & technology; Exact sciences and technology; Finite volume solver; Geometry; Ingénierie aérospatiale; Ingénierie, informatique & technologie; Mathematical analysis; Mathematics; Measure and integration; Newton–Krylov; Numerical analysis; Numerical analysis. Scientific computation; Partial differential equations; Quadratic reconstruction; Sciences and techniques of general use; Unstructured meshes; Various flow regimes; CFD; Unstructured meshes; Quadratic reconstruction; Consistent viscous scheme; Finite volume solver; Newton–Krylov; Various flow regimes; Integration; Three-dimensional calculations; Newton-Krylov; Stokes equation; Finite volume method; Discretization method; Geometry; Numerical analysis; Three dimensional flow; Navier Stokes equation; Applied mathematics; Preconditioning; Viscous flow
• ISSN: 0377-0427; 1879-1778; 1879-1778
• DOI: 10.1016/j.cam.2006.04.066

The computation of three-dimensional viscous flows on complex geometries requiring distorted meshes is of great interest. This paper presents a finite volume solver using a quadratic reconstruction of the unknowns for the advective fluxes computation, and a conservative and consistent discretization of the diffusive terms, based on an extended version of the Coirier's diamond path. A fully implicit time integration procedure is employed with a preconditioned matrix-free GMRES solver.