Conservative Finite-Difference Methods on General Grids - 9780367448745

CRC Press

This book considers conservative finite-difference schemes on grids of arbitrary structure to be a discrete model of the continuum physical system. It deals with the construction of finite-difference algorithms for elliptic or steady-state, parabolic or diffusion, and gas dynamics equations. > This new book deals with the construction of finite-difference (FD) algorithms for three main types of equations: elliptic equations, heat equations, and gas dynamic equations in Lagrangian form. These methods can be applied to domains of arbitrary shapes. The construction of FD algorithms for all types of equations is done on the basis of the support-operators method (SOM). This method constructs the FD analogs of main invariant differential operators of first order such as the divergence, the gradient, and the curl. This book is unique because it is the first book not in Russian to present the support-operators ideas.Conservative Finite-Difference Methods on General Grids is completely seln