Pseudospectral Simulations of 2D Flow Past aDimpled Cylinder : Numerical Simulations of 2D Flow Past a Dimpled Cylinder Using Fourier-Chebyshev Pseudospectral Method （2008. 80 S. 220 mm）

Kotovshchikova, Marina

VDM VERLAG DR. MÜLLER; VDM VERLAG DR. MÜLLER E.K.（2008発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 80 p.
• 商品コード 9783836488532

Description

(Text)
Spectral methods have a long history of application to fluid flow simulations. Their main advantages are high-order accuracy and convergence properties. The basic spectral methods only work on rectangular or circular domains. A very important and active research area is to adapt spectral methods for domains with complex boundary. In this monograph the application of pseudospectral (PS) method to viscous flow over a two-dimensional cylinder with dimples on the boundary is presented. By using a series of coordinate transformations, the exterior domain is mapped to the interior of the unit disk. Then the Fourier-Chebyshev PS approximation is applied to the transformed system of partial differential equations. Both steady and unsteady solutions are discussed. This monograph should be useful to applied mathematicians and engineers interested in high-order methods for fluid flow simulations in irregular domains.
(Author portrait)
Kotovshchikova, Marina Marina Kotovshchikova, PhD student in applied mathematics at the University of Manitoba. Main research interests include computational fluid mechanics and high-order numerical methods for partial differential equations.