Development of an adaptive discontinuity-capturing hyperbolic finite element model
Journal
International Journal for Numerical Methods in Fluids
Journal Volume
44
Journal Issue
9
Pages
957-973
Date Issued
2004
Author(s)
Abstract
Abstract In this paper we present a five‐parameter Taylor–Galerkin finite element model to simulate Euler equations in a domain of two dimensions. The introduced free parameters are theoretically determined by employing M‐matrix theory to obtain a physically correct and non‐oscillatory solution in regions containing a sharp solution profile. To improve the computational efficiency and solution accuracy, grids are adaptively added to obtain solutions with fewer mesh points. The discontinuity‐capturing finite element model has been validated against test cases, reproducing analytical solutions to the gas dynamic problems under the current investigation. Copyright © 2004 John Wiley & Sons, Ltd.
SDGs
Type
journal article