Immersed Boundary Methods for Compressible Laminar Flows

A face-based immersed boundary method for compressible flows using a uniform interpolation stencil

“…The same methodology of face-based reconstruction was extended to viscous flows in Capizzano (2011); the difference is that the direction of interpolation is along the wall normal of the IB surface. Subsequent use of solution forcing at the cell face has been adopted by Takahashi et al (2014) and Ramakrishnan et al (2016) among others.…”

“…The present work builds on a finite volume-based immersed boundary method by Ramakrishnan et al (2016) that uses facebased forcing in the neighborhood of the immersed surface. The immersed boundary is rendered as a set of line segments.…”

“…The immersed boundary is rendered as a set of line segments. The basic idea presented by Ramakrishnan et al (2016) was to reconstruct the data at the face center shared by an interior cell and fluid cell using the immediate fluid cell data (Ramakrishnan et al, 2016). However, this resulted in a situation wherein the solution stability was sensitive to the relative location of the cell face (where solution forcing is performed) to the immersed boundary.…”

“…However, this resulted in a situation wherein the solution stability was sensitive to the relative location of the cell face (where solution forcing is performed) to the immersed boundary. To overcome this deficiency, the reconstruction methodology proposed in Ramakrishnan et al (2016) is reworked to attain robust and locally second-order accurate velocity forcing for the immersed boundary method. The modified and relatively robust algorithm for face reconstruction is explained in the following sections.…”

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In this study, an immersed boundary method developed for compressible viscous flows (Ramakrishnan, R., Girdhar, A., & Ghosh, S. (2016). Immersed Boundary Methods for Compressible Laminar Flows) is modified to improve their stability and robustness.

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