Hybrid wavelet collocation-Brinkman penalization method for complex geometry flows

• Published in: International journal for numerical methods in fluids Vol. 40; no. 3-4; pp. 531 - 538
• Main Authors: Vasilyev, O. V., Kevlahan, N. K.-R.
• Format: Journal Article Conference Proceeding
• Language: English
• Published: Chichester, UK John Wiley & Sons, Ltd 30.09.2002; Wiley
• Subjects: adaptive grid; complex geometries; Computational methods in fluid dynamics; Exact sciences and technology; fictitious domain; Fluid dynamics; Fundamental areas of phenomenology (including applications); numerical method; penalization; Physics; wavelets; Geometrical shape; Computational fluid dynamics; Digital simulation; Adaptive method; Penalty method; Wavelets; Algorithms; Vorticity; Vortex flow; Incompressible fluid; Collocation method; Viscous fluids; Navier-Stokes equations
• ISSN: 0271-2091; 1097-0363
• DOI: 10.1002/fld.307

This paper introduces the hybrid wavelet collocation–Brinkman penalization method for solving the Navier–Stokes equations in arbitrarily complex geometries. The main advantages of the wavelet collocation method and penalization techniques are described, and a brief summary of their implementation is given. The hybrid method is then applied to a simple flow around cylinders with both periodic and non‐periodic boundary conditions with Reynolds numbers in the range from 100 to 10 000 and the results are discussed. Copyright © 2002 John Wiley & Sons, Ltd.