A 2D algebraic grid generation technique is presented for generating grid points for time-varying and irregular spatial domains. The method is based on the “four-boundary technique” of Vinokur and Lombard (1983) and is an extension of the “two-boundary technique for time-varying spatial domains” method developed by Yang and Shih (1986). Since it is an algebraic approach, the method is very efficient and can easily be extended to time-varying 3D spatial domains.

To show the feasibility and the usefulness of the grid generation technique, (1) it is applied to the problem of generating grids for the combustion chamber above an internal combustion engine piston with bowl-in-cavity, and (2) numerical solutions are obtained for the fluid motion in the combustion chamber for intake and compression strokes.

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