Method of improved reservoir simulation of fingering systems

A computer implemented method for simulating flow in a porous media, comprising:

• (a) constructing a model within the computer of a discretization of space using a radial grid having a center point and at least an innermost ring and at least one additional ring, each ring having a plurality of cells, wherein the cells have at least a cell width,
• wherein each ring other than the innermost ring has an equal or greater number of cells than its neighboring inside ring,
• wherein at least one ring other than the innermost ring has a greater number of cells than its neighboring inside ring,
• wherein the constructing is performed by:
• selecting a maximum cell width (Wmax);
• performing a calculation within the computer to determine if a cell has a width greater than Wmax, wherein the determination is made one ring at a time starting at the ring closest to the center point of the radial grid;
• and
• if a cell has a width greater than Wmax, modifying the model within the computer of the radial grid by introducing a new radial line starting from the ring having a cell with a width greater than Wmax and extending radially outward;
• and
• (b) performing a simulation on the computer of flow in a porous media wherein the simulation comprises solving linearized flow equations utilizing the radial grid to define the discretization of space.