Spatially adaptive techniques for level set methods and incompressible flow

By Frank Losasso, Ronald Fedkiw, Stanley J. Osher. 2006

304 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computer Graphics and Computer-Aided Design

View Paper: https://www.semanticscholar.org/paper/996ee999018b87e4205d552118d87e36c9bac53a

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In Computational Mechanics

In Computer Graphics and Computer-Aided Design

Citations in the corpus

High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems (2009, background): “We refer to [108] for a discussion of this issue.”
An Octree-Based Approach towards Efficient Variational Range Data Fusion (2016, background): “3D object reconstruction has been the focus of computer vision for decades and is important for many different fields including manufacturing verification, reverse engineering, rapid prototyping or augmented reality.”
A novel algorithm for incompressible flow using only a coarse grid projection (2010, result): “However, our framework is actually much more flexible and resembles that proposed in [Losasso et al. 2006].”
A balanced force refined level set grid method for two-phase flows on unstructured flow solver grids (2008, methodology): “AMR techniques can be used to adaptively refine the grid in the vicinity of the interface, see for example[4,27,49,63], however these methods are usually complex in parallel applications and difficult to domain-decompose efficiently, unless block or patch refinement strategies are used [34,49].”
A moving mesh finite volume interface tracking method for surface tension dominated interfacial fluid flow (2012, methodology): “Among the many methods which belong to this category, one may mention the marker-and-cell method (MAC) [1,2], the volume of fluid method (VOF) [3–5], the level set method [6,7], the ghost fluid method [8] and a group of front tracking methods [9,10].”
A review of level-set methods and some recent applications (2018, background): “[81] Frank Losasso, Ron Fedkiw, and Stanley Osher.”
An accurate adaptive solver for surface-tension-driven interfacial flows (2009, unknown): “1 AMS: 65M50; 76D05; 76D25; 76D45; 76M12; 76T10 Keywords: Adaptive mesh refinement; Surface tension; Navier-Stokes equations; Height-Function; Parasitic currents; Volume-Of-Fluid; Octree”
An Unconditionally Stable MacCormack Method (2008, methodology): “In contrast, the simple semi-Lagrangian approach proposed in [6] allowed for straightforward extension to octree [16,15] (see also [25]) and run length encoded [10] data structures.”
Evaluating the performance of the two-phase flow solver interFoam (2012, methodology): “First used in the context of multiphase incompressible flows by Sussman et al [26], the level set methods have matured into a promising numerical technique for accurate simulation of multiphase flows [4, 53].”
A geometric mass‐preserving redistancing scheme for the level set function (2011, methodology): “The use of high-order schemes, together with ad-hoc correction terms, are needed to minimize the interface distortion during reinitialization, which otherwise completely destroys the accuracy of the computations [7].”