COMPACT MOVING MESH METHOD FOR GAS DYNAMICS EQUATIONS

Abstract

The objective of this dissertation is to develop fourth order compact moving mesh method. This method is a hybrid of compact method and moving mesh method. The usual second order method becomes less suitable due to the increase of number of grid points to achieve the required accuracy. In this method, only three nodes are needed to yield a fourth order accuracy whereas other methods would have required five nodes and more computational effort to achieve the same accuracy. Compact moving mesh method is used to solve one dimensional gas dynamics equations. Compact method and moving mesh method are also reviewed in this dissertation. The results obtained by using compact moving mesh method are compared with the results determined by using second order finite difference method for gas dynamics equations.