Abstract
An adaptive regridding scheme within the framework of irregular triangles and finite differences is presented. The new grid's nodal points are selected on solution contours, Boundary adaptation is accomplished by using a pseudo-triangle gradient level indicator. The technique is demonstrated by adoptively solving the linear two-dimensional transient heat conduction equation on both rectangular and circular domains. Results indicate that the adaptive regridding scheme works as accurately as a fine grid, especially in regions where a steep change of solution occurs, but at a significantly lower computational cost. Apart from promising to be a general method, the scheme is simple in that it does not require the evaluation of weight functions, the solution of a set of differential equations, or the construction of a solution monitor surface to obtain new nodes.
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