Premium
A new finite element formulation for both compressible and nearly incompressible fluid dynamics
Author(s) -
De Sampaio P.A.B.,
Moreira M.L.
Publication year - 2000
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/(sici)1097-0363(20000115)32:1<43::aid-fld928>3.0.co;2-4
Subject(s) - discretization , pressure correction method , compressibility , mach number , laminar flow , finite element method , mathematics , incompressible flow , classical mechanics , compressible flow , computational fluid dynamics , mechanics , physics , mathematical analysis , thermodynamics
A new finite element formulation designed for both compressible and nearly incompressible viscous flows is presented. The formulation combines conservative and non‐conservative dependent variables, namely, the mass–velocity (density * velocity), internal energy and pressure. The central feature of the method is the derivation of a discretized equation for pressure, where pressure contributions arising from the mass, momentum and energy balances are taken implicitly in the time discretization. The method is applied to the analysis of laminar flows governed by the Navier–Stokes equations in both compressible and nearly incompressible regimes. Numerical examples, covering a wide range of Mach number, demonstrate the robustness and versatility of the new method. Copyright © 2000 John Wiley & Sons, Ltd.