Showing papers by "Eli Turkel published in 2009"
01 Jan 2009
TL;DR: In this paper, the authors consider high order methods for the one-dimensional Helmholtz equa- tion and frequency-Maxwell system and demand that the scheme be higher order even when the coefficients are discontinuous.
Abstract: We consider high order methods for the one-dimensional Helmholtz equa- tion and frequency-Maxwell system. We demand that the scheme be higher order even when the coefficients are discontinuous. We discuss the connection between schemes for the second-order scalar Helmholtz equation and the first-order system for the elec- tromagnetic or acoustic applications. AMS subject classifications: 65N06, 78A48, 78M20
14 citations
22 Jun 2009
TL;DR: In this article, a two-dimensional high-order solver with an unstructured spectral difference (SD) method coupled with the nonlinear lower-upper symmetric Gauss-Seidel method was developed to solve algebraic systems arising from SD discretizations with a second-order backward difference formula for time marching.
Abstract: This paper presents the development of a two-dimensional high-order solver with an unstructured spectral difference (SD) method coupled with the nonlinear lower-upper symmetric Gauss-Seidel method to solve the algebraic systems arising from SD discretizations with a second-order backward difference formula for time marching. The solver employs the formulations of Sun et al. and Van den Abeele et al. This method is used to solve the 2D flow around a circular cylinder at Re = 300, 800, 1000 and M = 0.05, the NACA0012 airfoil at Re = 50000 and M = 0.4 at zero angle of attack and the 2D flow around a square cylinder at Re = 10000 and M = 0.05. The obtained results are compared with reference solutions.
3 citations
22 Jun 2009
TL;DR: In this paper, a two-dimensional high-order solver with an unstructured spectral difference (SD) method coupled with the nonlinear lower-upper symmetric Gauss-Seidel method was developed to solve algebraic systems arising from SD discretizations with a second-order backward difference formula for time marching.
Abstract: This paper presents the development of a two-dimensional high-order solver with an unstructured spectral difference (SD) method coupled with the nonlinear lower-upper symmetric Gauss-Seidel method to solve the algebraic systems arising from SD discretizations with a second-order backward difference formula for time marching. The solver employs the formulations of Sun et al. and Van den Abeele et al. This method is used to solve the 2D flow around a circular cylinder at Re = 300, 800, 1000 and M = 0.05, the NACA0012 airfoil at Re = 50000 and M = 0.4 at zero angle of attack and the 2D flow around a square cylinder at Re = 10000 and M = 0.05. The obtained results are compared with reference solutions.
1 citations