5 papers
Space-Time Nonlinear Upscaling Framework Using Non-local Multi-continuum Approach
Wing T. Leung, Eric T. Chung, Yalchin Efendiev +2
In this paper, we develop a space-time upscaling framework that can be used for many challenging porous media applications without scale separation and high contrast. Our main focu…
Learning macroscopic parameters in nonlinear multiscale simulations using nonlocal multicontinua upscaling techniques
Maria Vasilyeva, Wing T. Leung, Eric T. Chung +2
In this work, we present a novel nonlocal nonlinear coarse grid approximation using a machine learning algorithm. We consider unsaturated and two-phase flow problems in heterogeneo…
Error indicator for the incompressible Darcy flow problems using Enhanced Velocity Mixed Finite Element Method
Yerlan Amanbek, Gurpreet Singh, Gergina Pencheva +1
In the flow and transport numerical simulation, mesh adaptivity strategy is important in reducing the usage of CPU time and memory. The refinement based on the pressure error estim…
Sequential Local Mesh Refinement Solver with Separate Temporal and Spatial Adaptivity for Non-linear Two-phase Flow Problems
Hanyu Li, Wing Tat Leung, Mary F. Wheeler
Convergence failure and slow convergence rates are among the biggest challenges with solving the system of non-linear equations numerically. Although mitigated, such issues still l…
Convergence analysis of fixed stress split iterative scheme for small strain anisotropic poroelastoplasticity: a primer
Saumik Dana, Mary F. Wheeler
This work serves as a primer to our efforts in arriving at convergence estimates for the fixed stress split iterative scheme for single phase flow coupled with small strain anisotr…