Boundary integral equation formulations for steady NavierStokes equations using the Stokes fundamental solutions
Abstract
Boundary integral equations for the steadystate flow of an incompressible viscous fluid in two and three dimensions are presented. The steadystate NavierStokes equations are transformed into the integral equations by the method of weighted residuals. The fundamental solutions of the Stokes approximate equations are used as the weight functions. The fundamental solutions are constructed by Hoermander's method. The boundary integral equations for unknown pressure are also derived by using the fundamental solution of the Laplacian. A numerical example of the driven cavity flow at Reynolds number 100 is given to show the validity of the formulation.
 Publication:

Engineering Analysis
 Pub Date:
 September 1985
 Bibcode:
 1985EngAn...2..128T
 Keywords:

 Boundary Element Method;
 Computational Fluid Dynamics;
 Finite Element Method;
 Integral Equations;
 NavierStokes Equation;
 Steady Flow;
 Boundary Value Problems;
 Cavity Flow;
 Channel Flow;
 Flow Velocity;
 Pressure Distribution;
 Reynolds Number;
 Fluid Mechanics and Heat Transfer