The properties of a LPAPI-matrix derived from an extended Direct-SIMPLE scheme are demonstrated. It is shown that such LPAPI-matrix for a 3D strong P..V coupling problem is difficult to numerically solve by nature, though the Direct-SIMPLE algorithm is theoretically efficient and computationally available for a 2D STP-based simulation. Convergent computation can not be achieved for an entire 3D solidification process using SOR, Jacobi and ICCG iterative methods to solve the 3D P..V coupling. This appeals some special solution techniques to the LPAPI-matrix for an efficient 3D STP-based simulation with an extended Direct-SIMPLE algorithm.
Citation:
Daming Xu, Jun Ni, "A Numerical Approach of Direct-SIMPLE Deduced Pressure Equations to Simulations of Transport Phenomena During Shaped Casting," imsccs, vol. 2, pp.815-821, 2006 First International Multi-Symposiums on Computer and Computational Sciences, 2006