SINGLE-PHASE FLOW SIMULATIONS USING AN ALGEBRAIC MULTIGRID SOLVER FOR SYSTEMS OF LINEAR ALGEBRAIC EQUATIONS
Yu. N. Deryugin, P. A. Mashenkin
VANT. Ser.: Mat. Mod. Fiz. Proc 2019. Вып.4. С. 51-65.
Usability of an algebraic multigrid solver for systems of linear algebraic equations in underground hydrodynamic simulations is considered. A methodology for solving the problems of single-phase flow in non-uniform and anisotropic porous media on unstructured meshes composed of convex non-self-intersecting cells is presented. It is shown experimentally that the efficiency of using the algebraic multigrid solver grows with increasing non-uniformity of bed rock and increasing problem mesh size. The algebraic multigrid solver is compared with the Krylov-type PCG solver in error convergence and computing time. Keywords: SLAE (system of linear algebraic equations), algebraic multigrid solver, underground hydrodynamics, approximation on unstructured mesh.
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