Anisotropic solution-adaptive technique applied to simulations of steady and unsteady compressible flows

Majewski, J.; Athanasiadis, Aristotelis

doi:10.1007/978-3-540-92779-2_60

Cited by 2 publications

(3 citation statements)

References 4 publications

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“…The interaction of the oblique shocks is resolved very well on the solution-adapted mesh. Moreover, the result is in good agreement with the result presented in [38].…”

Section: Steady Sinus Bumpsupporting

confidence: 91%

See 1 more Smart Citation

A finite volume implicit time integration method for solving the equations of ideal magnetohydrodynamics for the hyperbolic divergence cleaning approach

Yalim¹,

Abeele²,

Lani³

et al. 2011

Journal of Computational Physics

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“…The interaction of the oblique shocks is resolved very well on the solution-adapted mesh. Moreover, the result is in good agreement with the result presented in [38].…”

Section: Steady Sinus Bumpsupporting

confidence: 91%

“…11, two different cross-sections of the 3D anisotropically solution-adapted unstructured grid consisting of 33.468 nodes and 165.550 tetrahedra are shown. The interested reader can refer to [38] for explanations related to the solutionadaptivity algorithm.…”

Section: Steady Sinus Bumpmentioning

confidence: 99%

A finite volume implicit time integration method for solving the equations of ideal magnetohydrodynamics for the hyperbolic divergence cleaning approach

Yalim¹,

Abeele²,

Lani³

et al. 2011

Journal of Computational Physics

View full text Add to dashboard Cite

“…In general, this approach yields high quality meshes for arbitrarily complex geometries [4,[33][34][35][36]. Nevertheless this approach is difficult to implement in parallel simulations because of the global nature of the remeshing operation.…”

mentioning

confidence: 99%

Parallel anisotropic mesh refinement with dynamic load balancing for transonic flow simulations

Gepner

Majewski

Rokicki

2017

Bulletin of the Polish Academy of Sciences Technical Sciences

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Abstract. The present paper discusses an effective adaptive methods suited for use in parallel environment. An in-house, parallel flow solver based on the residual distribution method is used for the solution of flow problems. Simulation is parallelized based on the domain decomposition approach. Adaptive changes to the mesh are achieved by two distinctive techniques. Mesh refinement is performed by dividing element edges and a subsequent application of pre defined splitting templates. Mesh regularization and derefinement is achieved through topology conserving node movement (r-adaptivity). Parallel implementations of an adaptive use the dynamic load balancing technique.Key words: parallel CFD, adaptation, dynamic load balancing, mesh refinement, parallel efficiency.Parallel anisotropic mesh refinement with dynamic load balancing for transonic flow simulations [28][29][30][31][32]. In general, this approach yields high quality meshes for arbitrarily complex geometries [4,[33][34][35][36]. Nevertheless this approach is difficult to implement in parallel simulations because of the global nature of the remeshing operation.An alternative approach is to apply modifications to the computational mesh only in the regions of interest. Either by local mesh modification operators (edge splits, edge collapses and edge swaps) [37][38][39][40] or element bisection (e.g., based on template refinement) [10,[41][42][43][44][45][46][47]. Locality of these methods makes them especially attractive for application in parallel computing, as the necessary communication volume and frequency become limited, boosting parallel performance.Another possibility is brought by the r-adaptive methods, in which grid nodes are allowed to move without changing the topology of the mesh. This technique is used either to augment local refinement methods [48,49], or as an adaptive tool in itself [50][51][52]. Application of r-adaptive algorithms might be beneficial in parallel computations, as neither the grid topology nor the load balance become affected.Although adaptive methods are well recognised in the academic community, the broader application of adaptation for industrial problems has been limited. This paper presents an approach towards fully parallel and automatic mesh adaptation method that can be used for 3D industrial cases. The h-r adaptive method is developed, suitable for parallel simulation of transonic flows. Adaptivity is accomplished by anisotropic template-based element bisection method. The coarsening step is carried out via an elastic analogy node movement. Anisotropic mesh modifications are driven by a Hessian based approach.

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Anisotropic solution-adaptive technique applied to simulations of steady and unsteady compressible flows

Cited by 2 publications

References 4 publications

A finite volume implicit time integration method for solving the equations of ideal magnetohydrodynamics for the hyperbolic divergence cleaning approach

A finite volume implicit time integration method for solving the equations of ideal magnetohydrodynamics for the hyperbolic divergence cleaning approach

Parallel anisotropic mesh refinement with dynamic load balancing for transonic flow simulations

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