Advances in Physics-based Linear Solvers for Reservoir Simulation

Hui Liu
Advisor. Dr. John Chen
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Abstract

Hui Liu’s researches focus on the Constrained Pressure Residual (CPR), Implementation of CPR on GPU/CPU and Advances in Algebraic Multigrid (AMG) Solver for fast solvers of linear systems for the reservoir simulation.

All parameters in our package can be redefined by end users, and so it is easy and flexible to develop new solvers of linear system. Krylov and AMG solvers, commonly used preconditioners, new interpolators and solvers for AMG are developed. AMG is applied into the black oil model, and CPR is implemented on CPU/GPU. Numerical experiments are performed. The experimental results show that the implementation of CPR on GPU/CPU can largely improve the computation efficiency.