tetrahedral grids
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2022 ◽  
Author(s):  
Saumik Dana

We present a computational framework for fast monitoring of fault stability and ground deformation in multiphase geomechanics and demonstrate its efficacy for a carbon sequestration--enhanced oil recovery case study. The staggered solution algorithm for the coupled problem is augmented with a feature that allows for the flow and geomechanics sub-problems to be solved on different unstructured tetrahedral grids. For the field scale problem, the geomechanics grid goes all the way to the free surface while the flow grid is truncated at a depth above which the layers are impermeable. This framework avoids the unnecessary computational burden associated with equilibrating the initial pressure solution in the overburden, allows for a study of the critical interaction between overburden and faults, allows for fast renditions of ground deformation, and allows a choice of resolution for the flow and geomechanics grids independently to capture disparate length scales of the underlying physics.


Author(s):  
М.К. Ермаков

Для генерации сверхподробных тетраэдральных сеток объемом до 1 миллиарда ячеек используется открытое ПО Gmsh. Пакет позволяет строить автоматически указанные сетки на ПК в параллельном режиме OpenMP за время, не превышающее 1 часа при использовании ПК Intel i7–9700K. Описан опыт применения пакета для построения пространственных сеток для задач обтекания аэрокосмических объектов. Приведены примеры суперкомпьютерных расчетов обтекания аэрокосмических объектов. Gmsh open source software is used to generate ultra-detailed tetrahedral grids of up to 1 billion cells. The package allows one to build automatically specified grids on a PC in parallel OpenMP mode in a time not exceeding 1 hour when using an Intel i7–9700K PC. The experience of using the package to construct the spatial grids for problems of flows past aerospace objects is described. Several examples of supercomputer calculations for the flows past aerospace objects are given.


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