A Novel Approach for Solving Navier-Stokes Equations on Complex Geometries

Abstract

<p>Wind turbines in a wind farm undergo significant interference through wake and terrain interaction. Numerical modeling of a complex terrain necessitates the use of curvilinear body fitted coordinates. This paper proposes a novel mixed basis formulation of the governing conservation equations for general curvilinear non-orthogonal grids with the physical covariant velocity as the primary solution variable. The result is an algorithm which has many advantages of orthogonal equations. The conservation equations written in this form retains the diagonal dominance of the pressure equation. The newly formed conservation equations are solved using the SIMPLER algorithm and are shown to converge well for non-orthogonal grids. Standard <em>K - e</em> model is used for turbulence closure.</p>