Matrix compression for the radiation heat transfer in exhaust pipes

Abstract

A mathematical model for the heat transfer in a system of exhaust pipes of an automobile is described. The forced convection of the exhaust gas, the heat conduction and the heat transfer due to radiation are coupled. An effective numerical solution of the boundary integral equation for the radiation heat transfer is presented. The analytical form of the matrix entries for the collocation method is derived. Adaptive cross approximation is used for the compression of the system matrix. Some numerical examples for the matrix compression are presented.