Strongly implicit procedure modified

Schneider, G.E. and Zedan, M. (1981), A modified strongly implicit procedure for the numerical solutions of field problems. Numerical Heat Transfer, 4, 1-9. 

Schneider,G.E. and Zedan.M. "A Modified Strongly Implicit Procedure for the Nusi-erlcal solution of Field Problems." Num. 

Among the implicit methods are the Gaussian elimination and methods such as the modified strongly implicit (MSI) procedure, the LU-SSOR, and the implicit Runge-Kutta. The parallelization of implicit methods is more elaborate than for explicit methods. Implicit methods are frequently employed for solving ill-conditioned problems, such as those that arise in reactive flows. Thus, in physical terms, implicit methods are best suited to address ill-conditioned systems, while in computational terms these methods are preferred to resolve small matrix systems. 

With the discrete pressure equation written for each fluid column, and by Including the pressure boundary conditions, the (imax jmax) unknown discrete pressures can be expressed In terms of (loiax jBiax) equations. This work solved the system of equations by using a modified strongly Implicit solution procedure (HSIP) [23], and established a technique Whereby the cavitation boundary could be located at any position between adjacent pressure grid points. 

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