Adaptive Mesh Refinement for a Sharp Immersed Boundary Method

Higgins, John C.; Browne, Oliver M.; Brehm, Christoph

doi:10.2514/6.2021-0747

Cited by 5 publications

(1 citation statement)

References 21 publications

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“…When used with IBM combination, the main drawback of patch/block‐based AMR is near immersed boundary refinement, as a single patch/block covering the immersed boundary is not computationally efficient. Many small patches/blocks must be used to cover the immersed boundary, as in previous research 11 and the difficulty arises for treating mirror image point belonging to sharp interface IBM during grid change near immersed boundary 18 . The treatments of an immersed boundary containing patches/blocks and other fluid cells containing patches/blocks are slightly different; small patch/block‐based AMR–IBM combination is more expensive than cell‐based AMR methods.…”

Section: Introductionmentioning

confidence: 99%

Cell‐based hybrid adaptive mesh refinement algorithm for immersed boundary method

Saravanan

Choung

Lee

2021

Numerical Methods in Fluids

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This article proposes a hybrid adaptive mesh refinement (AMR) algorithm for the immersed boundary method (IBM) combination, and the AMR code is split into mesh and physics codes to optimize each part individually. The uniform parent grid solver is used for AMR grids by constructing hanging cells for the high‐order extension. The restrictive spatial refinement in a fully threaded tree (FTT) data structure is explored, and a simplified stencil search algorithm for hanging cells construction is introduced, including current and following child AMR level cells, if any. The proposed AMR method was applied to IBM, which offers flexibility in treating complex geometries in the Cartesian grid, leading to algorithmic simplicity and computational efficiency. Local near immersed boundary refinement is proposed to avoid complex and computationally expensive IBM and AMR algorithms near the solid bodies. Finally, a high‐order flux scheme extension at AMR level transition cells and the proposed method's applicability for steady and transient flows are demonstrated. Besides state and flux variables storage, the proposed hybrid AMR method's additional cost is 4.5 words/cell instead of 3.5 words/cell for 2D and 3.75 words/cell instead of 2.75 words/cell for 3D compared to the conventional FTT‐based AMR method. By comparing the uniform grid, the AMR final grid distribution shows that the optimal cell distribution based on flow physics reduces the cells required by more than 40% to resolve the complex flow features in less computational time. The enhanced performance and accuracy of the proposed AMR method in resolving different scale flow features are validated through benchmark problems.

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Section: Introductionmentioning

confidence: 99%

Cell‐based hybrid adaptive mesh refinement algorithm for immersed boundary method

Saravanan

Choung

Lee

2021

Numerical Methods in Fluids

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Particle-Impingement Simulations for a Blunt Cone in Hypersonic Flow

Russo

Hasnine

Brehm

2021

AIAA Scitech 2021 Forum

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Assessment of Linear Methods for Analysis of Boundary Layer Instabilities on a Finned Cone at Mach 6

Araya

Bitter

Wheaton

et al. 2022

AIAA AVIATION 2022 Forum

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Boundary-layer instabilities for a finned cone at Mach = 6, Re = 8.4 × 10 6 [ −1 ], and zero incidence angle are examined using linear stability methods of varying fidelity and maturity, following earlier analysis presented in [1]. The geometry and laminar flow conditions correspond to experiments conducted at the Boeing Air Force Mach 6 Quiet Tunnel (BAM6QT) at Purdue University. Where possible, a common mean flow is utilized among the stability computations, and comparisons are made along the acreage of the cone where transition is first observed in the experiment. Stability results utilizing Linear Stability Theory (LST), planar Parabolized Stability Equations (planar-PSE), One-Way Navier Stokes (OWNS), forced direct numerical simulation (DNS), and Adaptive Mesh Refinement Wavepacket Tracking (AMR-WPT) are presented. A dominant three-dimensional vortex instability occurring at ≈ 250 kHz is identified that correlates well with experimental measurements of transition onset. With the exception of LST, all of the higher-fidelity linear methods considered in this work were consistent in predicting the initial growth and general structure of the vortex instability as it evolved downstream. Some of the challenges, opportunities, and development needs of the stability methods considered are discussed.

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Adaptive Mesh Refinement for a Sharp Immersed Boundary Method

Cited by 5 publications

References 21 publications

Cell‐based hybrid adaptive mesh refinement algorithm for immersed boundary method

Cell‐based hybrid adaptive mesh refinement algorithm for immersed boundary method

Particle-Impingement Simulations for a Blunt Cone in Hypersonic Flow

Assessment of Linear Methods for Analysis of Boundary Layer Instabilities on a Finned Cone at Mach 6

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