Abstract: A computer implemented method of remeshing patches in a triangular meshed surface that employs an advancing front process is disclosed. An initial surface includes a triangular surface mesh, and a target size field that specifies an optimal triangle edge length at each position on the triangular surface mesh is defined over every point in. The triangular surface mesh is partitioned into patches, where each patch includes a contiguous set of adjacent faces delimited by closed loops of boundary or feature edges and has principal surface curvatures. The method employs an asterisk field generated from a cross field calculated for the patch in order to generate a remeshed surface.

Abstract: A method and system for generating an unstructured automatic mesh and executing computational algorithms using a finite element numerical approach is disclosed. The method is to model a hydrocarbon reservoir, wells, and completions as a single system, accounting for static information and transient behavior of wells, hydraulic fractures and reservoirs in a single model.

Abstract: A method and system for generating an unstructured automatic mesh and executing computational algorithms using a finite element numerical approach is disclosed. The method is to model a hydrocarbon reservoir, wells, and completions as a single system, accounting for static information and transient behavior of wells, hydraulic fractures and reservoirs in a single model.

Abstract: A method for solving space-time problems involving three-dimensional space wherein an unstructured four-dimensional finite element model is generated and solved to produce a four-dimensional solution. The four-dimensional mesh is generated from a three-dimensional mesh by extruding each of the simplices of the three-dimensional mesh in a time dimension. The four-dimensional prisms formed by extrusion of the three-dimensional simplices are divided into a plurality of four-dimensional simplices which form a four-dimensional finite element model. The elements of the four-dimensional model can be selectively refined to obtain a finer mesh in areas of greater interest, and a coarser mesh in areas which are of less interest. The mesh can be refined in the spatial dimensions and also in the temporal dimension.

Abstract: A method for solving space-time problems involving three-dimensional space wherein an unstructured four-dimensional finite element model is generated and solved to produce a four-dimensional solution. The four-dimensional mesh is generated from a three-dimensional mesh by extruding each of the simplices of the three-dimensional mesh in a time dimension. The four-dimensional prisms formed by extrusion of the three-dimensional simplices are divided into a plurality of four-dimensional simplices which form a four-dimensional finite element model. The elements of the four-dimensional model can be selectively refined to obtain a finer mesh in areas of greater interest, and a coarser mesh in areas which are of less interest. The mesh can be refined in the spatial dimensions and also in the temporal dimension.