Interpolating Matrix Method: A Finite Difference Method for Arbitrary Arrangement of Mesh Points
Abstract
The interpolating matrix method (IMM) is proposed as a finite difference method applicable to the arbitrary arrangement of mesh points. In the IMM, differential coefficients at a mesh point are expressed with linear combinations of a certain number of neighboring mesh points. A difference equation is easily constructed by substituting the linear combinations individually into the differential coefficients of the differential equation. A computer code for twodimensional, incompressible, turbulent flows has been developed and some calculation examples are presented to demonstrate the utility of the IMM.
 Publication:

Journal of Computational Physics
 Pub Date:
 April 1988
 DOI:
 10.1016/00219991(88)901222
 Bibcode:
 1988JCoPh..75..444K