A variety of approaches for gridding and upscaling of detailed geocellular models for flow
simulation are reviewed. Local, extended local, global and quasi global techniques for the …

Insufficient spatial or temporal resolution is a common source of errors in numerical
solutions for both water flow and solute transport in the variably unsaturated vadose zone …

Numerical challenges occur in the simulation of groundwater flow problems because of
complex boundary conditions, varying material properties, presence of sources or sinks in …

Wavelet transforms (WTs) constitute a class of powerful tools for spectral and local analysis
of data, such as time series, geophysical data, and well logs, as well as modeling of various …

The combined use of flow-based grid generation and equivalent property calculation offers
an effective means for generating subsurface flow simulation models from highly detailed …

In this paper, we present a new Monte-Carlo methodology referred to as Adaptive Fup
Monte-Carlo Method (AFMCM) based on compactly supported Fup basis functions and a …

In this paper, we study the a posteriori error estimate corresponding to the Brinkman–Darcy–
Forchheimer problem. We introduce the variational formulation discretized by using the finite …

Globally structured grids, including the so-called stratigraphic or CPG (Corner Point
Geometry) approaches, are widely used in the reservoir simulation community. However …

We implement a space‐time grid adaptation procedure to efficiently improve the accuracy of
numerical simulations of solute transport in porous media in the context of model parameter …

In this article we consider the a posteriori error estimation and adaptive mesh refinement for
the numerical approximation of the travel time functional arising in porous media flows. The …