Title :
Comparison of second-order accurate TVD scheme and p-version space-time least-squares finite-element method for nonlinear hyperbolic problems
Author :
Tseng, Ming Hseng ; Liang, Shin-Jye
Author_Institution :
Nat. Center for High-Performance Comput., Taiwan
fDate :
28 Apr-2 May 1997
Abstract :
The 2nd-order accurate total variation diminishing (TVD2) finite-difference method and p-version based space-time least-squares finite-element method (STLSFEM) are presented in this study. Both methods are applied to 1D unsteady Burgers´ and shallow-water equations which contain sharp gradients. The computed results demonstrate that both methods are capable of resolving the sharp gradients without generating spurious oscillations. The methods provide the basis for the extension of TVD2 and p-version STLSFEM to multi-dimensional unsteady problems and appear to have great potential in computational fluid dynamics
Keywords :
finite difference methods; finite element analysis; fluid dynamics; hyperbolic equations; least squares approximations; mechanical engineering computing; 1D unsteady Burgers´ equations; 2nd-order accurate total variation diminishing finite-difference method; computational fluid dynamics; multi-dimensional unsteady problems; nonlinear hyperbolic problems; p-version space-time least-squares finite-element method; shallow-water equations; sharp gradients; Boundary conditions; Computational fluid dynamics; Convergence; Differential equations; Finite difference methods; Finite element methods; Partial differential equations; Stability;
Conference_Titel :
High Performance Computing on the Information Superhighway, 1997. HPC Asia '97
Conference_Location :
Seoul
Print_ISBN :
0-8186-7901-8
DOI :
10.1109/HPC.1997.592162
