ACCELERATED COMPUTATION OF VISCOUS INCOMPRESSIBLE FLOWS WITH HEAT TRANSFER

Abstract

A new method for enhancing the convergence rates of iterative schemes for the numerical integration of systems of partial differential equations has been developed. It is termed the distributed minimal residual (DMR) method. The DMR method has been applied to incompressible Navier-Stokes equations with heat transfer. Alt numerical lest cases were obtained using explicit four-stage Runge-Kutla or Euler implicit lime integration. The DMR method was found to reduce compulation lime by 207ndash;60%, depending on the test case. The formulation for the DMR method is general in nature and can be applied to explicit and implicit iterative algorithms for arbitrary systems of partial differential equations.