A5040137767- Advanced Mathematical Modeling in Engineering
- Advanced Numerical Methods in Computational Mathematics
- Lattice Boltzmann Simulation Studies
- Heat and Mass Transfer in Porous Media
- Groundwater flow and contamination studies
- Composite Material Mechanics
- Differential Equations and Numerical Methods
- Probabilistic and Robust Engineering Design
- Enhanced Oil Recovery Techniques
- Hydraulic Fracturing and Reservoir Analysis
- Nanofluid Flow and Heat Transfer
- Numerical methods for differential equations
- Differential Equations and Boundary Problems
- Hydrology and Sediment Transport Processes
- Model Reduction and Neural Networks
- Matrix Theory and Algorithms
- Soil erosion and sediment transport
- Hydrocarbon exploration and reservoir analysis
- Electromagnetic Simulation and Numerical Methods
- Fluid Dynamics and Turbulent Flows
- Gaussian Processes and Bayesian Inference
- Particle Dynamics in Fluid Flows
- Composite Structure Analysis and Optimization
- Reservoir Engineering and Simulation Methods
- CO2 Sequestration and Geologic Interactions
University of Stuttgart
2011-2023
Institute of Mathematics
2003-2005
National Academy of Sciences of Belarus
2003-2005
Domains composed of a porous part and an adjacent free‐flow region are special interest in many fields application. So far, the coupling free flow with porous‐media has been considered only for single‐phase systems. Here we extend this classical concept to two‐component nonisothermal two phases inside medium one phase region. The mathematical modeling transport phenomena media is often based on Darcy's law, whereas regions (Navier‐) ‐Stokes equations used. In paper, give detailed description...
Abstract The intrinsic permeability is a crucial parameter to characterise and quantify fluid flow through porous media. However, this typically uncertain, even if the geometry of pore structure available. In paper, we perform comparative study experimental, semi-analytical numerical methods calculate regular structure. particular, use Kozeny–Carman relation, different homogenisation approaches (3D, 2D, very thin media pseudo 2D/3D), pore-scale simulations (lattice Boltzmann method, Smoothed...
Abstract The correct choice of interface conditions and effective parameters for coupled macroscale free-flow porous-medium models is crucial a complete mathematical description the problem under consideration accurate numerical simulation applications. We consider single-fluid-phase systems described by Stokes–Darcy model. Different sets coupling this model are available. However, these often arbitrary. use large-scale lattice Boltzmann simulations to validate comparison against pore-scale...
Mathematical modelling of coupled flow systems containing a free-flow region in contact with porous medium is challenging, especially for arbitrary directions to the fluid--porous interface. Transport processes free and are typically described by distinct equations: Stokes equations Darcy's law, respectively, an appropriate set coupling conditions at common Classical interface based on Beavers--Joseph condition not accurate general flows. Several generalisations recently developed flows...
Related DatabasesWeb of Science You must be logged in with an active subscription to view this.Article DataHistorySubmitted: 18 June 2020Accepted: 07 January 2021Published online: 15 April 2021Keywordsinterface conditions, homogenization, boundary layer, porous medium, free flowAMS Subject Headings35Q35, 76D07, 76M10, 76M50, 76S05Publication DataISSN (print): 1540-3459ISSN (online): 1540-3467Publisher: Society for Industrial and Applied MathematicsCODEN: mmsubt
Abstract Physically consistent coupling conditions at the fluid–porous interface with correctly determined effective parameters are necessary for accurate modeling and simulation of various applications. To describe single-fluid-phase flows in coupled free-flow porous-medium systems, Stokes/Darcy equations typically used together conservation mass across interface, balance normal forces Beavers–Joseph condition on tangential velocity. The latter is suitable parallel to but not applicable...
A large class of industrial composite materials, such as metal foams, fibrous glass mineral wools, and the like, are widely used in insulation advanced heat exchangers. These materials characterized by a substantial difference between thermal properties highly conductive (glass or metal) insulator (air) well low volume fractions complex network-like structures components. In this paper we address important issue for engineering practice developing fast, reliable, accurate methods computing...
Abstract Existing model validation studies in geoscience often disregard or partly account for uncertainties observations, choices, and input parameters. In this work, we develop a statistical framework that incorporates probabilistic modeling technique using fully Bayesian approach to perform quantitative uncertainty-aware validation. A perspective on task yields an optimal bias-variance trade-off against the reference data. It provides integrative metric parameter conceptual uncertainty....
In the paper elliptic equations with alternating‐sign coefficients at mixed derivatives are considered. For such new difference schemes of second order approximation developed. The proposed conservative and monotone. constructed algorithms satisfy grid maximum principle not only for constant signs but also derivatives. a prioriestimates stability convergence in norm C obtained.
Abstract We consider a model problem for coupled surface–subsurface flow. The consists of nonlinear kinematic wave equation the surface fluid’s height and Brinkman that governs fluid velocity pressure subsurface dynamics. For this hyperbolic–elliptic we establish existence weak solutions. proof is based on viscous approximation method compensated compactness by virtue appropriate energy estimates. To solve numerically, finite volume applied. numerical scheme used to illustrate influence...
Abstract In this paper, the a priori estimates of stability in energy and uniform norms are proved for monotone conservative difference schemes approximating elliptic equations with mixed derivatives. The obtained without any assumption about symmetry coe±cient matrix initial differential equation.
Understanding the dynamics of wet granular materials is important for a range applications, including levee safety, beach erosion, and scour around hydraulic structures. Several continuum models have been proposed recently to model relevant processes these applications at computationally tractable resolutions, which were derived using mixture theory approaches aerated flows. The thermodynamically constrained averaging used formulate framework three-phase flow involving mechanistic...
Abstract A numerical upscaling approach, NU, for solving multiscale elliptic problems is discussed. The main components of this NU are: i) local solve aux-iliary in grid blocks and formal the obtained results to build a coarse scale equation; ii) global upscaled iii) reconstruction fine solution by block on dual grid. By its structure similar other methods problems, such as finite element method, mixed subgrid heterogeneous mul-tiscale volume method. difference with those way equation...
Abstract Determination of relevant model parameters is crucial for accurate mathematical modelling and efficient numerical simulation a wide spectrum applications in geosciences. The conventional method choice the global sensitivity analysis (GSA). Unfortunately, at least classical Monte-Carlo based GSA requires high number runs. Response surfaces techniques, e.g. arbitrary Polynomial Chaos (aPC) expansion, can reduce computational effort, however, they suffer from Gibbs phenomena hardware...
Fluid flows in coupled systems consisting of a free-flow region and the adjacent porous medium appear variety environmental settings industrial applications. In many applications, fluid flow is non-parallel to fluid–porous interface that requires generalisation Beavers–Joseph coupling condition typically used for Stokes–Darcy problem. Generalised conditions valid arbitrary directions are recently derived using theory homogenisation boundary layers. The aim this work mathematical analysis...
Flow interaction between a plain-fluid region in contact with porous layer attracted significant attention from modelling and analysis sides due to numerous applications biology, environment industry. In the most widely used coupled model, fluid flow is described by Stokes equations free-flow domain Darcy's law medium, complemented appropriate interface conditions. However, traditional coupling concepts are restricted, few exceptions, one-dimensional flows parallel fluid-porous interface....