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 two-dimensional, 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:
- 10.1016/0021-9991(88)90122-2
- Bibcode:
- 1988JCoPh..75..444K