Computer Methods in Applied Mechanics and Engineering

Items from 1 to 16 out of 16 results

article

Partitioning strategies for the interaction of a fluid with a poroelastic material based on a Nitsche’s coupling approach

M. Bukač, I. Yotov, R. Zakerzadeh, P. Zunino

Computer Methods in Applied Mechanics and Engineering > 2015 > 292 > C > 138-170

We develop a computational model to study the interaction of a fluid with a poroelastic material. The coupling of Stokes and Biot equations represents a prototype problem for these phenomena, which feature multiple facets. On one hand, it shares common traits with fluid–structure interaction. On the other hand it resembles the Stokes–Darcy coupling. For these reasons, the numerical simulation of the...

article

Special issue in honor of Prof. Mary F. Wheeler: Simulations of Subsurface Flow and Transport

Shuyu Sun, Ivan Yotov

Computer Methods in Applied Mechanics and Engineering > 2015 > 292 > C > 1-2

article

Efficient numerical methods for simulating surface tension of multi-component mixtures with the gradient theory of fluid interfaces

Jisheng Kou, Shuyu Sun, Xiuhua Wang

Computer Methods in Applied Mechanics and Engineering > 2015 > 292 > C > 92-106

Surface tension significantly impacts subsurface flow and transport, and it is the main cause of capillary effect, a major immiscible two-phase flow mechanism for systems with a strong wettability preference. In this paper, we consider the numerical simulation of the surface tension of multi-component mixtures with the gradient theory of fluid interfaces. Major numerical challenges include that the...

article

Multi-physics modeling of non-isothermal compositional flow on adaptive grids

Benjamin Faigle, Mohamed Ahmed Elfeel, Rainer Helmig, Beatrix Becker, more

Computer Methods in Applied Mechanics and Engineering > 2015 > 292 > C > 16-34

A multi-physics framework for compositional and non-isothermal two-phase flow in a porous medium is presented which adapts locally the model complexity depending on the physical state. It is based on a sequential (IMPET) solution scheme. As a second adaptive strategy, the simulation grid can be refined locally. This may lead to a mesh with hanging nodes, which is treated by a multi-point flux approximation...

article

Numerical solutions of the incompressible miscible displacement equations in heterogeneous media

Jizhou Li, Beatrice Riviere

Computer Methods in Applied Mechanics and Engineering > 2015 > 292 > C > 107-121

This paper presents a numerical method based on mixed finite element, discontinuous Galerkin methods in space and high order Runge–Kutta method in time for solving the miscible displacement problem. No slope limiters are needed. The proposed method exhibits high order of convergence in space and time when comparing with analytical solutions. The simulation shows robustness of the method for heterogeneous...

article

A probabilistic collocation Eulerian–Lagrangian localized adjoint method on sparse grids for assessing CO2 leakage through wells in randomly heterogeneous porous media

Hong Wang, Yongqiang Ren, Jinhong Jia, Michael A. Celia

Computer Methods in Applied Mechanics and Engineering > 2015 > 292 > C > 35-53

We develop a probabilistic collocation Eulerian–Lagrangian localized adjoint method on sparse grids for assessing CO₂ leakage through wells in randomly heterogeneous porous media, by utilizing the intrinsic mathematical, numerical, and physical properties of the mathematical model. We model the process in which CO₂ is injected into a deep aquifer, spreads within the aquifer and, upon reaching a leaky...

article

A priori and posteriori error analysis for time-dependent Maxwell’s equations

Jichun Li, Yanping Lin

Computer Methods in Applied Mechanics and Engineering > 2015 > 292 > C > 54-68

We consider time-dependent Maxwell’s equations discretized by variable time steps in time domain and edge elements in spatial domain. First, the stability and optimal a priori error estimate are proved for both semi and fully discrete schemes. Then a posteriori error analysis is carried out for both schemes.

article

Effective interface conditions for the forced infiltration of a viscous fluid into a porous medium using homogenization

Thomas Carraro, Christian Goll, Anna Marciniak-Czochra, Andro Mikelić

Computer Methods in Applied Mechanics and Engineering > 2015 > 292 > C > 195-220

It is generally accepted that the effective velocity of a viscous flow over a porous bed satisfies the Beavers–Joseph slip law. To the contrary, in the case of a forced infiltration of a viscous fluid into a porous medium the interface law has been a subject of controversy. In this paper, we prove rigorously that the effective interface conditions are: (i) the continuity of the normal effective velocities;...

article

Multidimensional upwind schemes and higher resolution methods for three-component two-phase systems including gravity driven flow in porous media on unstructured grids

Sadok Lamine, Michael G. Edwards

Computer Methods in Applied Mechanics and Engineering > 2015 > 292 > C > 171-194

Standard reservoir simulation schemes employ single-point upstream weighting for approximation of the convective fluxes when multiple phases or components are present. These schemes introduce both coordinate-line numerical diffusion and crosswind diffusion into the solution that is grid and geometry dependent.Families of locally conservative multidimensional upwind schemes are presented for essentially...

article

Editorial Board

Computer Methods in Applied Mechanics and Engineering > 2015 > 292 > C > IFC

article

Two-level mortar domain decomposition preconditioners for heterogeneous elliptic problems

Todd Arbogast, Hailong Xiao

Computer Methods in Applied Mechanics and Engineering > 2015 > 292 > C > 221-242

We consider a second order elliptic problem with a heterogeneous coefficient, which models, for example, single phase flow through a porous medium. We write this problem in mixed form and approximate it for parallel computation using the multiscale mortar domain decomposition mixed finite element method, which gives rise to a saddle point linear system. We use a relatively fine mortar space, which...

article

A spectral multiscale hybridizable discontinuous Galerkin method for second order elliptic problems

Yalchin Efendiev, Raytcho Lazarov, Minam Moon, Ke Shi

Computer Methods in Applied Mechanics and Engineering > 2015 > 292 > C > 243-256

We design a multiscale model reduction framework within the hybridizable discontinuous Galerkin finite element method. Our approach uses local snapshot spaces and local spectral decomposition following the concept of Generalized Multiscale Finite Element Methods. We propose several multiscale finite element spaces on the coarse edges that provide a reduced dimensional approximation for numerical traces...

article

Well-posedness and robust preconditioners for discretized fluid–structure interaction systems

Jinchao Xu, Kai Yang

Computer Methods in Applied Mechanics and Engineering > 2015 > 292 > C > 69-91

In this paper we develop a family of preconditioners for the linear algebraic systems arising from the arbitrary Lagrangian–Eulerian discretization of some fluid–structure interaction models. After the time discretization, we formulate the fluid–structure interaction equations as saddle point problems and prove the uniform well-posedness. Then we discretize the space dimension by finite element methods...

article

Evaluating linear and nonlinear solvers for density driven flow

Arne Nägel, Andreas Vogel, Gabriel Wittum

Computer Methods in Applied Mechanics and Engineering > 2015 > 292 > C > 3-15

This study investigates properties of different solvers for density driven flow problems. The focus is on both non-linear and linear solvers. For the non-linear part, we compare fully coupled method using a Newton linearization and iteratively coupled versions of Jacobi and Gauss–Seidel type. Fully coupled methods require effective preconditioners for the Jacobian. To that end we present a transformation...

article

Calendar

Computer Methods in Applied Mechanics and Engineering > 2015 > 292 > C > 257

article

Global–local nonlinear model reduction for flows in heterogeneous porous media

Manal Alotaibi, Victor M. Calo, Yalchin Efendiev, Juan Galvis, more

Computer Methods in Applied Mechanics and Engineering > 2015 > 292 > C > 122-137

In this paper, we combine discrete empirical interpolation techniques, global mode decomposition methods, and local multiscale methods, such as the Generalized Multiscale Finite Element Method (GMsFEM), to reduce the computational complexity associated with nonlinear flows in highly-heterogeneous porous media. To solve the nonlinear governing equations, we employ the GMsFEM to represent the solution...

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292
Year:
2015

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Keywords

HETEROGENEOUS POROUS MEDIA (3)
FLUID–STRUCTURE INTERACTION (2)
HOMOGENIZATION (2)
ADAPTIVE GRID (1)
ALGEBRAIC MULTIGRID (1)
BACKWARD EULER SCHEME (1)
BOUNDARY LAYERS (1)
CO2 SEQUESTRATION AND LEAKAGE (1)
COMPOSITIONAL NON-ISOTHERMAL FLOW (1)
DENSITY DRIVEN FLOW (1)
DISCONTINUOUS GALERKIN (1)
DISCRETE EMPIRICAL INTERPOLATION (1)
EDGE ELEMENTS (1)
EULERIAN–LAGRANGIAN METHOD (1)
EULER–LAGRANGE EQUATIONS (1)
FINITE-VOLUME (1)
FLUX-CONTINUOUS (1)
GENERALIZED MULTISCALE FINITE ELEMENT METHOD (1)
GENUINELY MULTIDIMENSIONAL (1)
GRADIENT THEORY (1)
HIGH ORDER (1)
HIGHER ORDER (1)
HYBRIDIZABLE DISCONTINUOUS GALERKIN (1)
IMPET (1)
INTERFACE CONDITIONS (1)
MAXWELL’S EQUATIONS (1)
MIXED FINITE ELEMENTS (1)
MULTI-COMPONENT MIXTURES (1)
MULTI-PHYSICS (1)
MULTI-POINT FLUX APPROXIMATION (1)
MULTISCALE FINITE ELEMENT METHOD (1)
MULTISCALE MORTAR MIXED METHOD (1)
NITSCHE’S METHOD (1)
NONLINEAR PDES (1)
OPERATOR-SPLITTING SCHEME (1)
PORE SCALE SIMULATION (1)
POROELASTICITY (1)
POROUS MEDIA (1)
POSTERIORI ERROR ANALYSIS (1)
PRECONDITIONERS (1)
PRECONDITIONING (1)
PRESSURE SLIP LAW (1)
PROBABILISTIC COLLOCATION METHOD (1)
PROPER ORTHOGONAL DECOMPOSITION (1)
RISK ASSESSMENT (1)
ROBUST PRECONDITIONERS (1)
RUNGE–KUTTA METHODS (1)
SLIP VELOCITY (1)
SOLVERS (1)
SPECTRAL BASIS FUNCTION (1)
STABILIZATION (1)
SURFACE TENSION (1)
TWO-LEVEL PRECONDITIONER (1)
TWO-SCALE (1)
UNCERTAINTY QUANTIFICATION (1)
UNSTRUCTURED (1)
WEAK CONTINUITY (1)
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