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On the Filtration of Micropolar Fluid Through a Thin Pipe
This paper reports the analytical results on the incompressible micropolar fluid flowing through a thin (or long) cylindrical pipe filled with porous...
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Surface-subsurface filtration transport with seawater intrusion: multidomain mixed variational evolution problems
Surface-subsurface filtration transport with seawater intrusion phenomena are formulated and variationally analyzed, as coupled multimedia mixed...
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Domain Decomposition Solvers for Operators with Fractional Interface Perturbations
Mathematical models featuring interaction of physical systems across a common interface describe numerous phenomena in engineering, environmental...
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FETI-DP Algorithms for 2D Biot Model with Discontinuous Galerkin Discretization
Poroelasticity, i.e., elasticity of porous media with permeated Darcy flow, pioneered by Biot [7, 8] has been used broadly in geoscience [27] and...
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Stabilized finite element method for the stationary mixed Stokes–Darcy problem
This paper considers numerical methods for solving the viscous incompressible steady-state Stokes–Darcy problem that can be implemented by the use of...
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A mathematical model of the human heart suitable to address clinical problems
In this paper, we present a mathematical model capable of simulating the human cardiac function. We review the basic equations of the model, their...
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Stokes Flow Past Porous Bodies of Arbitrary Shape
In this paper we discuss a new approach to discuss Stokes flow past porous bodies of arbitrary shape using the Darcy [1] model and Saffman [2]...
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An efficient rotational pressure-correction schemes for 2D/3D closed-loop geothermal system
In this paper, the rotational pressure-correction schemes for the closed-loop geothermal system are developed and analyzed. The primary benefit of...
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Equal-order finite element approximation for mantle-melt transport
Mantle convection and melt migration are important processes for understanding Earth’s dynamics and how they relate to observations at the surface....
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Superconvergence of MAC Scheme for a Coupled Free Flow-Porous Media System with Heat Transport on Non-uniform Grids
In this paper, a marker and cell (MAC) scheme is constructed for the free flow-porous media system with heat transport on non-uniform grids, where...
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Generalized Brinkman-Type Fluid Model and Coupled Heat Conductivity Problem
AbstractA variant of the model of coupled thermohydrodynamics and heat balance is proposed. We use Sedov’s variational principle and develop (a...
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Parameter analysis in continuous data assimilation for three-dimensional Brinkman–Forchheimer-extended Darcy model
In this paper, we study analytically the long-time behavior of three-dimensional Brinkman–Forchheimer-extended Darcy model, in the context that the...
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Convergence of the MAC Scheme for the Stokes/Darcy Coupling Problem
In this paper, we extend the MAC scheme for Stokes problem to the Stokes/Darcy coupling problem. The interface conditions between two separate...
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Optimally convergent mixed finite element methods for the time-dependent 2D/3D stochastic closed-loop geothermal system with multiplicative noise
In this paper, a new time-dependent 2D/3D stochastic closed-loop geothermal system with multiplicative noise is developed and studied. This model...
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A Strongly Conservative Hybrid DG/Mixed FEM for the Coupling of Stokes and Darcy Flow
We consider the coupling of free and porous media flow governed by Stokes and Darcy equations with the Beavers–Joseph–Saffman interface condition....
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An Effective Model for the Simulation of Transpiration Cooling
Transpiration cooling is numerically investigated, where a cooling gas is injected through a carbon composite material into a hot gas channel. To...
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A Virtual Marriage à la Mode: Some Recent Results on the Coupling of VEM and BEM
The aim of this chapter is to present in a unified way some recent results on the combined use of the virtual element method (VEM) and the boundary...
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Homogenization based topology optimization of fluid-pressure loaded structures using the Biot–Darcy Model
Homogenization method is applied to topology optimization of a weakly coupled two physics problem, where structures are made of periodically...
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Assembly of Multiscale Linear PDE Operators
In numerous applications the mathematical model consists of different processes coupled across a lower dimensional manifold. Due to the multiscale...
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Non-Newtonian Flow on Homogeneous-Heterogeneous Pore-Scale Reactive Transport: A Computational Analysis
AbstractThis study presents a pore-scale model of a complex homogeneous-heterogeneous reaction. It is based on the Stokes equations,...
