Journal Article10.1016/J.JCP.2004.01.032
A front-tracking/front-capturing method for the simulation of 3D multi-fluid flows with free surfaces
F. S. de Sousa,Norberto Mangiavacchi,Luis Gustavo Nonato,A. Castelo,Murilo Francisco Tomé,Valdemir Garcia Ferreira,José Alberto Cuminato,Sean McKee +7 more
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TL;DR: In this article, a method for simulating incompressible, imiscible, unsteady, Newtonian, multi-fluid flows with free surfaces is described, where a sharp interface separates fluids of different density and viscosity.
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About: This article is published in Journal of Computational Physics. The article was published on 10 Aug 2004. The article focuses on the topics: Numerical analysis & Eulerian path.
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Citations
Numerical modeling of multiphase flows in microfluidics and micro process engineering: a review of methods and applications
TL;DR: A comprehensive review of numerical methods and models for interface resolving simulations of multiphase flows in microfluidics and micro process engineering is presented in this paper, where three common approaches in the sharp interface limit, namely the volume-of-fluid method with interface reconstruction, the level set method and the front tracking method, as well as methods with finite interface thickness such as color function based methods and the phase-field method are discussed.
428
The MAC method
Sean McKee,Murilo Francisco Tomé,Valdemir Garcia Ferreira,José Alberto Cuminato,A. Castelo,Fabricio S. Sousa,Norberto Mangiavacchi +6 more
TL;DR: The Marker and Cell (MAC) method has been widely used in the field of flow visualization as mentioned in this paper. But it has not yet been applied to the analysis of surface and interfacial flows.
280
An interface-capturing method for incompressible two-phase flows. Validation and application to bubble dynamics
TL;DR: In this article, an interface-capturing method for computing three-dimensional incompressible two-phase flows involving high density and viscosity ratios, together with capillary effects is presented.
157
A discontinuous‐Galerkin‐based immersed boundary method
TL;DR: A numerical method to approximate partial differential equations on meshes that do not conform to the domain boundaries is introduced and, by virtue of relaxing the continuity constraint at those elements, boundary locking is avoided and optimal‐order convergence is achieved.
132
A stabilized finite element method using a discontinuous level set approach for the computation of bubble dynamics
TL;DR: It is shown that the use of a curvature computed by means of a direct derivation of the level set function leads to inaccurate and oscillatory results.
129
References
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Fronts propagating with curvature dependent speed: algorithms based on Hamilton-Jacobi formulations. Final report
S. Osher,J.A. Sethian +1 more
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TL;DR: New numerical algorithms are devised (PSC algorithms) for following fronts propagating with curvature-dependent speed, providing methods that accurately capture the formation of sharp gradients and cusps in the moving fronts.
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Numerical Calculation of Time‐Dependent Viscous Incompressible Flow of Fluid with Free Surface
Francis H. Harlow,J. Eddie Welch +1 more
TL;DR: In this paper, a new technique is described for the numerical investigation of the time-dependent flow of an incompressible fluid, the boundary of which is partially confined and partially free The full Navier-Stokes equations are written in finite-difference form, and the solution is accomplished by finite-time step advancement.
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