Calculation of the volume of a general hexahedron for flow predictions
Abstract
The application of finite volume methods to the solution of conservative partial differential equations requires the calculation of the volume of elementary cells. An expression is presently obtained for the volume of a general hexahedron by first defining the faces of the hexahedron as doubly ruled surfaces; this method of definition has the practical merit of allowing the cells to be fitted together to fill the entire space, without requiring the consideration of diagonals-matching for the face quadrilaterals. There is no discontinuity anywhere on the surface of this cell.
- Publication:
-
AIAA Journal
- Pub Date:
- June 1985
- DOI:
- 10.2514/3.9013
- Bibcode:
- 1985AIAAJ..23..954D
- Keywords:
-
- Computational Fluid Dynamics;
- Finite Volume Method;
- Volumetric Analysis;
- Cells;
- Partial Differential Equations;
- Pyramidal Bodies;
- Shapes;
- Vector Analysis;
- Fluid Mechanics and Heat Transfer