On the Conditions for Coupling Free Flow and Porous-Medium Flow in a Finite Volume Framework

Fetzer, Thomas; Grüninger, Christoph; Flemisch, Bernd; Helmig, Rainer

doi:10.1007/978-3-319-57394-6_37

Cited by 6 publications

(14 citation statements)

References 19 publications

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“…Using a fully implicit monolithic scheme, continuum-scale models describing turbulent free flow are coupled to REV Darcy scale models simulating multiphase flow and transport in a porous medium using interface coupling conditions. This two-domain concept is based on the work developed in Mosthaf et al (2011) and Fetzer et al (2016) and is coupled using the sharp interface techniques described in Fetzer et al (2017a). In this section and the following, the model concepts used in each domain, their coupling, and their numerical implementation are described.…”

Section: Model Conceptmentioning

confidence: 99%

“…The development of these conditions is outlined in Mosthaf et al (2011) and expanded to turbulent conditions in Fetzer et al (2016). The options for implementation over a sharp interface with no further degrees of freedom are investigated in Fetzer et al (2017a). Each condition is shown in Table 1.…”

Section: Coupling Conditionsmentioning

confidence: 99%

“…Further, the grids must be conforming. For a further discussion of the implementation of these coupling conditions, please refer to Fetzer et al (2017a) and Grüninger et al (2017).…”

Section: Interface Conditionsmentioning

confidence: 99%

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Obstacles, Interfacial Forms, and Turbulence: A Numerical Analysis of Soil–Water Evaporation Across Different Interfaces

et al. 2020

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Exchange processes between a turbulent free flow and a porous media flow are sensitive to the flow dynamics in both flow regimes, as well as to the interface that separates them. Resolving these complex exchange processes across irregular interfaces is key in understanding many natural and engineered systems. With soil-water evaporation as the natural application of interest, the coupled behavior and exchange between flow regimes are investigated numerically, considering a turbulent free flow as well as interfacial forms and obstacles. Interfacial forms and obstacles will alter the flow conditions at the interface, creating flow structures that either enhance or reduce exchange rates based on their velocity conditions and their mixing with the main flow. To evaluate how these interfacial forms change the exchange rates, interfacial conditions are isolated and investigated numerically. First, different flow speeds are compared for a flat surface. Second, a porous obstacle of varied height is introduced at the interface, and the effects the flow structures that develop have on the interface are analyzed. The flow parameters of this obstacle are then varied and the interfacial exchange rates investigated. Next, to evaluate the interaction of flow structures between obstacles, a second obstacle is introduced, separated by a varied distance. Finally, the shape of these obstacles is modified to create different wave forms. Each of these interfacial forms and obstacles is shown to create different flow structures adjacent to the surface which alter the mass, momentum, and energy conditions at the interface. These changes will enhance the exchange rate in locations where higher velocity gradients and more mixing with the main flow develop, but will reduce the exchange rate in locations where low velocity gradients and limited mixing with the main flow occur.

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Section: Model Conceptmentioning

confidence: 99%

Section: Coupling Conditionsmentioning

confidence: 99%

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Obstacles, Interfacial Forms, and Turbulence: A Numerical Analysis of Soil–Water Evaporation Across Different Interfaces

et al. 2020

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“…Examples using the same spatial discretization scheme for both domains range from the staggered-grid finite volume method [14,15], finite element method [16] or the box-scheme, a vertex-centered finite volume method [11,17]. Furthermore, combinations of colocated and staggered-grid schemes have been developed [18,19,13]. For more discretization approaches to the modeling of coupled free flow and porous medium flow, we refer the reader to [16] and references therein.…”

Section: Introductionmentioning

confidence: 99%

“…Some models, e.g. [14,33], couple cell-centered finite volumes, used to discretize the porous medium, with a Marker-and-Cell (staggered grid) finite volume scheme [18], used for the discretization of the free-flow domain. Other approaches utilize the same discretization method in each domain, using either staggered grids [22], finite elements [11], or a vertex-centered finite volume method, otherwise known as the box scheme [28,21] for both domains.…”

Section: Introductionmentioning

confidence: 99%

Coupling staggered-grid and MPFA finite volume methods for free flow/porous-medium flow problems

Schneider

Weishaupt

Gläser

et al. 2020

Journal of Computational Physics

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A discretization is proposed for models coupling free flow with anisotropic porous medium flow.Our approach employs a staggered grid finite volume method for the Navier-Stokes equations in the free flow subdomain and a MPFA finite volume method to solve Darcy flow in the porous medium. After appropriate spatial refinement in the free flow domain, the degrees of freedom are conveniently located to allow for a natural coupling of the two discretization schemes. In turn, we automatically obtain a more accurate description of the flow field surrounding the porous medium.Numerical experiments highlight the stability and applicability of the scheme in the presence of anisotropy and show good agreement with existing methods, verifying our approach.

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Overview of Mathematical and Numerical Solution Methods

Scheer

Class

Flemisch

2020

Subsurface Environmental Modelling Between Science and Policy

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On the Conditions for Coupling Free Flow and Porous-Medium Flow in a Finite Volume Framework

Cited by 6 publications

References 19 publications

Obstacles, Interfacial Forms, and Turbulence: A Numerical Analysis of Soil–Water Evaporation Across Different Interfaces

Obstacles, Interfacial Forms, and Turbulence: A Numerical Analysis of Soil–Water Evaporation Across Different Interfaces

Coupling staggered-grid and MPFA finite volume methods for free flow/porous-medium flow problems

Overview of Mathematical and Numerical Solution Methods

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