Smoothed boundary method for simulating incompressible flow in complex geometries

Termuhlen, Robert; Fitzmaurice, Kieran; Yu, Hui-Chia

doi:10.1016/j.cma.2022.115312

Title: Smoothed boundary method for simulating incompressible flow in complex geometries

Journal Article · Sat Jul 16 00:00:00 EDT 2022 · Computer Methods in Applied Mechanics and Engineering

DOI:https://doi.org/10.1016/j.cma.2022.115312· OSTI ID:1877877

^[1]; Fitzmaurice, Kieran ^[2];

^[1]

Michigan State Univ., East Lansing, MI (United States)
Univ. of Pittsburgh, PA (United States)

Simulating flow through porous media with explicit considerations of complex microstructures is very challenging using conventional sharp-interface methods because of the difficulties in generating meshes conformal to complex geometries. In this work, a diffuse interface embedded boundary method known as the Smoothed Boundary Method (SBM) is utilized to facilitate simulations of fluid dynamics involving complex geometries. In diffuse-interface methods, the geometry is described by a domain parameter. The SBM allows the straightforward reformulation of the time-dependent Navier-Stokes equations in terms of this domain parameter, using only algebraic identities. Thus, enforcing the appropriate boundary conditions at the irregular embedded boundary is greatly simplified. Adaptive mesh refinement is used to increase the accuracy of the diffuse interface method by allowing thinner interfacial thickness to be used in the domain parameter. Here, the SBM-formulated Navier-Stokes equations are solved with the Finite Difference Method on refined mesh systems. Sharp-interface Finite Element Method simulations using the commercial software COMSOL on body-conforming meshes are also provided for comparison. Favorable agreement between the two methods is observed. Since it is no longer necessary for the mesh to conform to the complex geometry, the grid system for the SBM simulations can be generated rapidly and without additional manual interventions, making the entire simulation process more expedient.

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Research Organization:: Michigan State Univ., East Lansing, MI (United States)

Sponsoring Organization:: USDOE Office of Fossil Energy (FE); National Science Foundation (NSF)

Grant/Contract Number:: FE0031672; 1949912

OSTI ID:: 1877877

Journal Information:: Computer Methods in Applied Mechanics and Engineering, Vol. 399; ISSN 0045-7825

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Title: Smoothed boundary method for simulating incompressible flow in complex geometries

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