SAAMPLE: A Segregated Accuracy-driven Algorithm for Multiphase Pressure-Linked Equations

Tolle, Tobias; Bothe, Dieter; Marić, Tomislav

doi:10.1016/j.compfluid.2020.104450

Cited by 9 publications

(5 citation statements)

References 45 publications

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“…Although an exact initialization of a sphere is available on unstructured meshes [39,22], this test case confirms second-order convergence of SMCI and its applicability as a volume fraction model for the unstructured Level Set / Front Tracking method [24,44]. The case consists of a sphere with a radius R = 0.15, placed at (0.5, 0.5, 0.5) in a unit box domain.…”

Section: Smci Algorithmmentioning

confidence: 55%

“…The SMCI algorithm scales linearly with a small number of surface triangles per cut-cell. Since a small number of triangles per cell is a requirement for Front Tracking, this linear-complexity makes SMCI an interesting candidate for computing volume fractions in the 3D unstructured Level Set / Front Tracking method Marić et al [24], Tolle et al [44], which will be the subject of future investigations.…”

Section: Discussionmentioning

confidence: 99%

“…5d. In [24,44], the geometric signed distances are set to large positive numbers throughout the domain, and a graph-traversal algorithm is used to iteratively correct the signs of signed distances using face-cell and pointpoint graph connectivity provided by the unstructured mesh. Graph-traversal is computationally expensive and complicated to implement in parallel.…”

Section: Signed Distance Propagationmentioning

confidence: 99%

“…The re-distancing is approached geometrically for the Level Set / Front Tracking method by computing the minimal signed distance from the approximation of the fluid interface in the form of a surface mesh Σ. This calculation is relatively straightforward on structured meshes [37,38], but significantly more complex on unstructured meshes [24,44].…”

Section: Introductionmentioning

confidence: 99%

“…This includes in particular the large families of geometric [19,17,33,25], geometric/algebraic [36] and algebraic VOF methods [47,10]. The calculation of volume fractions from a surface mesh (marker points in 2D) was done in the mixed markers and VOF method by Aulisa et al [3] and our proposed algorithm significantly extends this idea towards an accurate and fast volume fraction model for Front Tracking methods [46], as well as the hybrid Level Set / Front Tracking methods on structured [37,38] or unstructured [24,44] meshes.…”

Section: Introductionmentioning

confidence: 99%

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Computing volume fractions and signed distances from triangulated surfaces immersed in unstructured meshes

Tolle,

Gründing,

Bothe

et al. 2021

Preprint

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Available algorithms for the initialization of volume fractions typically utilize exact functions to model fluid interfaces, or they rely on computationally costly intersections between volume meshes. Here, a new algorithm is proposed that computes signed distances and volume fractions on unstructured meshes from arbitrarily shaped surfaces, e.g. originating from experimental data. The proposed algorithm calculates signed distances geometrically near the fluid interface, approximated as a triangle surface mesh, and propagates the inside/outside information by an approximate solution of a Laplace equation. Volume fractions are computed based on signed distances, using either geometrical intersections between cells of the unstructured mesh and a sub-set of the surface mesh that represents the interface, or using a polynomial approximation and adaptive mesh refinement. Although primarily developed for multiphase flow simulations, the proposed algorithm can potentially be used for other problems that require a phase-indicator: inside/outside information with respect to an arbitrarily shaped surface on arbitrarily unstructured meshes.

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