Shape functions for velocity interpolation in general hexahedral cells

RL Naff, TF Russell, JD Wilson - Computational Geosciences, 2002 - Springer
Numerical methods for grids with irregular cells require discrete shape functions to
approximate the distribution of quantities across cells. For control-volume mixed finite …

A general framework for constructing and analyzing mixed finite volume methods on quadrilateral grids: The overlapping covolume case

SH Chou, DY Kwak, KY Kim - SIAM Journal on Numerical Analysis, 2001 - SIAM
We present a general framework for constructing and analyzing finite volume methods
applied to the mixed formulation of second-order elliptic problems on quadrilateral grids …

Relationships among some conservative discretization methods

TF Russell - Numerical Treatment of Multiphase Flows in Porous …, 2000 - Springer
Relationships among various mass-conservative discretization techniques for equations of
the type-Δ. K rp= q on distorted logically rectangular meshes are discussed. The case of …

Superconvergence for control-volume mixed finite element methods on rectangular grids

TF Russell, MF Wheeler, I Yotov - SIAM journal on numerical analysis, 2007 - SIAM
We consider control-volume mixed finite element methods for the approximation of second-
order elliptic problems on rectangular grids. These methods associate control volumes …

Validation of non-Darcy well models using direct numerical simulation

VA Garanzha, VN Konshin, SL Lyons… - Numerical Treatment of …, 2000 - Springer
Validation of Non-darcy Well Models Using Direct Numerical Simulation 1 Introduction Page 1
Validation of Non-darcy Well Models Using Direct Numerical Simulation Vladimir A. Garanzha …

[图书][B] Test functions for three-dimensional control-volume mixed finite-element methods on irregular grids

RL Naff, TF Russell, JD Wilson - 2000 - pubs.usgs.gov
Numerical methods based on unstructured grids, with irregular cells, usually require discrete
shape functions to approximate the distribution of quantities across cells. For control-volume …

Shape functions for three-dimensional control-volume mixed finite-element methods on irregular grids

RL Naff, TF Russell, JD Wilson - Developments in Water Science, 2002 - Elsevier
Numerical methods based on unstructured grids, with irregular cells, frequently require
discrete shape functions to approximate the distribution of quantities across cells. For control …

Accurate and effective simulation for reservoirs of complex geological features

S Sutopo, N Arihara - SPE Asia Pacific Oil and Gas Conference and …, 2002 - onepetro.org
Heterogeneous geological features, such as fractures, faults, shale laminae, and cross-
stratified beds, can exert significant effects on the flow performance. Accurate simulation of …

[图书][B] Efficient solver for mixed and control-volume mixed finite element methods

JD Wilson, TF Russell - 2000 - researchgate.net
In simulations of ground water flow in heterogeneous aquifers, accuracy of velocities can be
substantially enhanced by discretizations based on mixed or control-volume mixed finite …

Application of the control volume mixed finite element method to a triangular discretization

RL Naff - International journal for numerical methods in …, 2012 - Wiley Online Library
SUMMARY A two‐dimensional control volume mixed finite element method is applied to the
elliptic equation. Discretization of the computational domain is based in triangular elements …