Boundary integral equation formulations for unsteady incompressible viscous fluid flow by timedifferencing
Abstract
Boundary integral equations for the flow of an incompressible viscous fluid in two and three dimensions are presented. Flow velocity and pressure are taken as field unknowns. Time derivatives in the NavierStokes equations are approximated by onestep finite differences. The semidiscretized differential equations are transformed into the integral equations using the weightedresidual method. Fundamental solutions of linearized equations are used as the weight functions. Boundary collocations using linear boundary elements are considered for discretization of the integral equations.
 Publication:

Engineering Analysis
 Pub Date:
 June 1986
 Bibcode:
 1986EngAn...3..101T
 Keywords:

 Boundary Integral Method;
 Computational Fluid Dynamics;
 Finite Difference Theory;
 NavierStokes Equation;
 Unsteady Flow;
 Viscous Flow;
 Boundary Element Method;
 Flow Equations;
 Flow Velocity;
 Fluid Pressure;
 Incompressible Flow;
 Three Dimensional Flow;
 Two Dimensional Flow;
 Fluid Mechanics and Heat Transfer