A diffuse interface immersed boundary method for convective heat and fluid flow

De, Arnab Kumar

doi:10.1016/j.ijheatmasstransfer.2015.09.022

Cited by 29 publications

(9 citation statements)

References 31 publications

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“…In general, the interface is treated by diffuse or sharp interface methods. In the former, more recently, De [21] presented diffuse interface immersed boundary method with second order space convergence for solving incompressible flows. In the latter, Ghias et al [22] presented immersed boundary method based viscous, subsonic compressible flow solver for body non-conformal Cartesian or curvilinear grids with ghost-cell technique to enforce boundary conditions at the immersed boundary.…”

Section: Introductionmentioning

confidence: 99%

Fluid–structure interaction solver for compressible flows with applications to blast loading on thin elastic structures

Bailoor

Annangi

Seo

et al. 2017

Applied Mathematical Modelling

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We report development and application of a fluid-structure interaction (FSI) solver for compressible flows with large-scale flow-induced deformation of the structure. The FSI solver utilizes partitioned approach to strongly couple a sharp-interface immersed boundary method based flow solver with an open-source finite-element structure dynamics solver. The flow solver is based on a higher-order finite-difference method on Cartesian grid and employs ghost-cell methodology to impose boundary conditions on the immersed boundary. A higher-order accuracy near the immersed boundary is achieved by combining the ghost-cell approach with a weighted least-square error method based on a higher-order approximate polynomial. We present validations for two-dimensional canonical acoustic wave scattering on a rigid cylinder at low Mach number and flow past a circular cylinder at moderate Mach number. The second order spatial accuracy of the flow solver is established by performing a grid refinement study. The structure solver is validated with a canonical elastostatics problem. The FSI solver is validated with published measurements and simulations for the large-scale deformation of a thin elastic steel panel subjected to blast loading in a shock tube. The solver correctly predicts oscillating behavior of the tip of the panel with reasonable fidelity and computed shock wave propagation is qualitatively consistent with the published results. In order to demonstrate the fidelity of the solver and to investigate coupled physics of the shock-structure interaction for a thin elastic plate, we employ the solver for simulating 6.4 kg TNT blast loading on the thin elastic plate. The initial conditions of the blast are taken from field tests reported in the literature. Using numerical schlieren, the shock front propagation, Mach reflection and vortex shedding at the tip of the plate are visualized during the shock wave impact on the plate. We discuss coupling between the non-linear dynamics of the plate and blast loading. The plate oscillates under the influence of blast loading and restoring elastic forces. The time-varying displacement of the tip of plate is found to be superimposition of two dominant frequencies, which correspond to first and second mode of natural frequency of a vibrating plate. The effects of material properties and length of the plate on the flow-induced deformation are briefly discussed. The proposed FSI solver is demonstrated as a versatile computational tool for simulating the blast wave impact on thin elastic structures and given results will be helpful to design thin structures subjected to realistic blast loadings.

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Section: Introductionmentioning

confidence: 99%

Fluid–structure interaction solver for compressible flows with applications to blast loading on thin elastic structures

Bailoor

Annangi

Seo

et al. 2017

Applied Mathematical Modelling

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“…Past research applying phase field methods to scientific and engineering applications [6,7,12,[16][17][18]20,21,23,31,32] has leveraged the ease of capturing complex, potentially deforming geometries where a conformal mesh would be computationally infeasible. In general, these past methods involve the projection of a binary discontinuous phase field, created from the geometry, onto the computational grid or mesh.…”

Section: Non-iterative Methods For Continuous Diffuse Phase Field Gen...mentioning

confidence: 99%

“…To date, the vast majority of applications of the diffuse interface method are restricted to uniform boundary conditions, or account for spatial variation in a non-generalized manner. [6,7,12,16,20,23,31,32] Consequently, a method is developed for the imposition of spatially-varying boundary conditions that is complementary to the method presented in the previous section for the generation of the diffuse interface itself.…”

Section: Generalized Diffuse Interface Methods For Spatially-varying ...mentioning

confidence: 99%

A diffuse interface method for simulation‐based screening of heat transfer processes with complex geometries

2022

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Frequently, the simulation‐based design of physicochemical processes requires screening of large numbers of alternative designs with complex geometries. These geometries may result in conformal meshes which introduce stability issues, significant computational complexity, and require user‐interaction for their creation. In this work, a method for simulation of heat transfer using the diffuse interface method to capture a complex geometry is presented as an alternative to conformal meshing, with analysis and comparisons given. The methods presented include automated non‐iterative generation of phase fields from CAD geometries and an extension of the diffuse interface method for mixed boundary conditions. Simple measures of diffuse interface quality are presented and used to predict performance. The method is applied to a realistic three‐dimensional heat transfer problem (LED heat sink) and compared to the traditional conformal mesh approach. It is found to enable reasonable accuracy at an order‐of‐magnitude reduction in simulation time or comparable accuracy for equivalent simulation times.

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“…All the spatial terms are approximated by second-order volume- or surface-integral approximations. The complex boundaries are resolved using the diffuse-interface immersed-boundary method (Pan & Shen 2009; De 2016, 2018) where a volume-averaged unified discrete equation is solved everywhere in the domain, relaxing the conventional variable reconstruction near non-conformal boundaries for sharp-interface immersed-boundary techniques. The panel, surface triangulated with approximately 32 000 and 78 000 triangular elements for , , respectively, were found to predict the panel volume to nearly accuracy.…”

Section: Physical System and Numerical Set-upmentioning

confidence: 99%