Found 599 Documents (Results 1–100)
An isogeometric shape optimization method for groundwater flow in porous media. (English) Zbl 07839884
A semi-hybrid-mixed method for Stokes-Brinkman-Darcy flows with \(H(\operatorname{div})\)-velocity fields. (English) Zbl 1533.65221
Multiscale topology optimization of modulated fluid microchannels based on asymptotic homogenization. (English) Zbl 1536.35034
Exact solutions for the fractional nonlinear Boussinesq equation. (English) Zbl 07920768
Cardone, Angelamaria (ed.) et al., Fractional differential equations. Modeling, discretization, and numerical solvers. Based on the presentations at the INdAM workshop, Rome, Italy, July 12–14, 2021. Cham: Springer. Springer INdAM Ser. 50, 17-27 (2023).
Robust and efficient preconditioners for Stokes-Darcy problems. (English) Zbl 1534.65226
Franck, Emmanuel (ed.) et al., Finite volumes for complex applications X – Volume 1. Elliptic and parabolic problems. FVCA 10, Strasbourg, France, October 30 – November 3, 2023. Invited contributions. Cham: Springer. Springer Proc. Math. Stat. 432, 375-383 (2023).
Reviewer: Song Jiang (Beijing)
Stokes-Brinkman-Darcy models for coupled free-flow and porous-medium systems. (English) Zbl 1533.65210
Franck, Emmanuel (ed.) et al., Finite volumes for complex applications X – Volume 1. Elliptic and parabolic problems. FVCA 10, Strasbourg, France, October 30 – November 3, 2023. Invited contributions. Cham: Springer. Springer Proc. Math. Stat. 432, 365-373 (2023).
Reviewer: Shuji Yoshikawa (Oita)
Homogenization of the Navier-Stokes equations in perforated domains in the inviscid limit. (English) Zbl 1528.35093
Homogenization and dimension reduction of the Stokes problem with Navier-slip condition in thin perforated layers. (English) Zbl 1529.35022
Reviewer: Adrian Muntean (Karlstad)
Theory of porous media with the advection term and mass exchange between phases. (English) Zbl 07729806
The hybrid-dimensional Darcy’s law: a non-conforming reinterpreted discrete fracture model (RDFM) for single-phase flow in fractured media. (English) Zbl 07625418
Recursive formulation and parallel implementation of multiscale mixed methods. (English) Zbl 07625379
A priori estimates to solutions of the time-fractional convection-diffusion-reaction equation coupled with the Darcy system. (English) Zbl 1537.35380
The equation of filtration for real gases: group classification, exact solutions, conservation laws, and differential invariants. (English) Zbl 1509.35014
Gas filtration at constant thermodynamic potential. (English) Zbl 1520.80001
Reviewer: Miguel Ángel García Ariza (México, D.F.)
Global well-posedness for the three dimensional Muskat problem in the critical Sobolev space. (English) Zbl 1504.35319
Travelling-wave and asymptotic analysis of a multiphase moving boundary model for engineered tissue growth. (English) Zbl 1497.92119
Tumor growth towards lower extracellular matrix conductivity regions under Darcy’s law and steady morphology. (English) Zbl 1496.92014
Towards HPC simulations of billion-cell reservoirs by multiscale mixed methods. (English) Zbl 1489.86003
Analytic evaluation of piezometric head for a creeping flow past a fully constrained obstacle. (English) Zbl 1499.76119
Investigation of the transition to instability of the water boiling front during injection into a geothermal reservoir. (English. Russian original) Zbl 1515.76059
Theor. Math. Phys. 211, No. 2, 735-743 (2022); translation from Teor. Mat. Fiz. 211, No. 2, 347-357 (2022).
Analysis of the Stokes-Darcy problem with generalised interface conditions. (English) Zbl 1490.35311
Optimal convergence rates to diffusion waves for solutions of \(p\)-system with damping on quadrant. (English) Zbl 1485.35066
Quasilinearization of the 3D Muskat equation, and applications to the critical Cauchy problem. (English) Zbl 1489.35196
Asymptotic stability of diffusion waves of a quasi-linear hyperbolic-parabolic model for vasculogenesis. (English) Zbl 1484.35057
Existence of weak solutions to multiphase Cahn-Hilliard-Darcy and Cahn-Hilliard-Brinkman models for stratified tumor growth with chemotaxis and general source terms. (English) Zbl 1484.35148
Nonlocal Cahn-Hilliard-Hele-Shaw systems with singular potential and degenerate mobility. (English) Zbl 1482.35167
A justification of the Darcy law for a suspension of not self-similar solid particles non-periodically distributed. (English) Zbl 1479.35057
The energy method analysis of the Darcy-Bénard problem with viscous dissipation. (English) Zbl 1521.76827
MSC:
76S05
Mathematical modeling of micropolar fluid flows through a thin porous medium. (English) Zbl 1497.35391
Derivation of Darcy’s law in randomly perforated domains. (English) Zbl 1473.35029
Reviewer: Vivek Tewary (Bangalore)
The evolution dam problem for a compressible fluid with nonlinear Darcy’s law and Dirichlet boundary condition. (English) Zbl 1475.35260
Validation and calibration of coupled porous-medium and free-flow problems using pore-scale resolved models. (English) Zbl 1461.76442
Wave interaction with multiple wavy porous barriers using dual boundary element method. (English) Zbl 1464.76114
Weak and stationary solutions to a Cahn-Hilliard-Brinkman model with singular potentials and source terms. (English) Zbl 1440.35190
Effect of magnetic field and non-uniform surface on squeeze film lubrication. (English) Zbl 1487.78005
FESTUNG: a MATLAB/GNU Octave toolbox for the discontinuous Galerkin method. IV: Generic problem framework and model-coupling interface. (English) Zbl 1528.65081
Coupled flow and deformation fields due to a line load on a poroelastic half space: effect of surface stress and surface bending. (English) Zbl 1472.74024
MSC:
74B20
Motion through spherical droplet with non-homogenous porous layer in spherical container. (English) Zbl 1457.76171
Study on the formation of Saffman-Taylor instability in oil reservoir in two-dimensional formulation. (Russian. English summary) Zbl 1452.76069
A dimensionally reduced Stokes-Darcy model for fluid flow in fractured porous media. (English) Zbl 1474.35539
Complex far-field geometries determine the stability of solid tumor growth with chemotaxis. (English) Zbl 1439.92044
Well-posedness for the Brinkman-Cahn-Hilliard system with unmatched viscosities. (English) Zbl 1434.35087
Numerical analysis of a second order algorithm for a non-stationary Navier-Stokes/Darcy model. (English) Zbl 1440.65236
Well-posedness of a diffuse interface model for Hele-Shaw flows. (English) Zbl 1435.35297
Reviewer: Thomas Ernst (Uppsala)
Conjugate-mixed convection of nanofluid flow over an inclined flat plate in porous media. (English) Zbl 1433.76157
Spatial fractional Darcy’s law to quantify fluid flow in natural reservoirs. (English) Zbl 1514.76086
Newtonian fluid flow in a thin porous medium with non-homogeneous slip boundary conditions. (English) Zbl 1423.76045
Initial boundary value problem for the 3D quasilinear hyperbolic equations with nonlinear damping. (English) Zbl 1437.35096
The Rayleigh-Taylor instability for the verigin problem with and without phase transition. (English) Zbl 1418.35310
Adaptive finite element solution of the porous medium equation in pressure formulation. (English) Zbl 1418.65135
Effect of magnetic field on the steady viscous fluid flow around a semipermeable spherical particle. (English) Zbl 1441.76039
Slow steady flow past a porous cylinder with radially varying permeability using cell models. (English) Zbl 1441.76038
Homogenization of two-phase fluid flow in porous media via volume averaging. (English) Zbl 1432.76252
A second order energy stable scheme for the Cahn-Hilliard-Hele-Shaw equations. (English) Zbl 1407.65097
Optimal error estimates of a decoupled scheme based on two-grid finite element for mixed Navier-Stokes/Darcy model. (English) Zbl 1438.65276
A multi-grid decoupling method for the coupled fluid flow with the porous media flow. (English) Zbl 1448.76170
Proof of Dupuit’s assumption for the free boundary problem in an inhomogeneous porous medium. (English. Russian original) Zbl 1444.76102
Math. Notes 103, No. 1, 42-53 (2018); translation from Mat. Zametki 103, No. 1, 49-64 (2018).
The transition between the Navier-Stokes equations to the Darcy equation in a thin porous medium. (English) Zbl 1388.76026
Analysis of the effects of a fissure for a non-Newtonian fluid flow in a porous medium. (English) Zbl 1383.76015
A parallel two-grid linearized method for the coupled Navier-Stokes-Darcy problem. (English) Zbl 1395.76042
A multiscale modeling of permeability in a multi-porosity porous medium using smoothed particle hydrodynamics. (English) Zbl 07867123
MSC:
76Sxx
Homogenization of the Stokes equation with mixed boundary condition in a porous medium. (English) Zbl 1438.76042
A modified memory-based mathematical model describing fluid flow in porous media. (English) Zbl 1409.76141
Stability and convergence of some novel decoupled schemes for the non-stationary Stokes-Darcy model. (English) Zbl 1422.65421
Local and parallel finite element method for the mixed Navier-Stokes/Darcy model with Beavers-Joseph interface conditions. (English) Zbl 1399.65324
Darcy’s laws for non-stationary viscous fluid flow in a thin porous medium. (English) Zbl 1369.76056
Derivation of a quasi-stationary coupled Darcy-Reynolds equation for incompressible viscous fluid flow through a thin porous medium with a fissure. (English) Zbl 1368.76008
Derivation of a coupled Darcy-Reynolds equation for a fluid flow in a thin porous medium including a fissure. (English) Zbl 1365.76296
Homogenization of an incompressible non-Newtonian flow through a thin porous medium. (English) Zbl 1365.76006
Erratum to: “On the nonlocal Cahn-Hilliard-Brinkman and Cahn-Hilliard-Hele-Shaw systems”. (English) Zbl 1472.35290
Flow field and traverse times for Fan forced injection of fumigant via circular or annular inlet into stored grain. (English) Zbl 1471.76061
Flow and heat transfer of a generalized Maxwell fluid with modified fractional Fourier’s law and Darcy’s law. (English) Zbl 1390.76027
On the Muskat problem. (English) Zbl 1351.35271
Material description of fluxes in terms of differential forms. (English) Zbl 1348.74012
Contin. Mech. Thermodyn. 28, No. 1-2, 379-390 (2016); correction ibid. 31, No. 1, 361-362 (2019).
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