A front-tracking method for viscous, incompressible, multi-fluid flows
TLDR
In this paper, a method to simulate unsteady multi-fluid flows in which a sharp interface or a front separates incompressible fluids of different density and viscosity is described.About:
This article is published in Journal of Computational Physics.The article was published on 1992-05-01 and is currently open access. It has received 2340 citations till now. The article focuses on the topics: Incompressible flow & Unstructured grid.read more
Citations
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Consistent, essentially conservative and balanced-force Phase-Field method to model incompressible two-phase flows
TL;DR: The proposed scheme is a practical and accurate tool to study two-phase flows, especially for those including large density ratios, and conserves mass globally and momentum essentially, and is balanced-force, in the discrete level.
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Computations of the Compressible Multiphase Flow Over the Cavitating High-Speed Torpedo
Farouk M. Owis,Ali H. Nayfeh +1 more
TL;DR: In this article, a numerical method is developed to compute cavitating flows over high-speed torpedoes using the full unsteady compressible Navier-Stokes equations, which can be used to compute single as well as multiphase flows.
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A multiphase smoothed particle hydrodynamics model with lower numerical diffusion
Boxue Zheng,Zhen Chen +1 more
TL;DR: A switch-function-based artificial viscosity term is proposed to change the global implementation of numerical diffusion in the momentum equation into the local effectiveness depending on the strong impact of the fluid.
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A CutFEM method for two-phase flow problems
Susanne Claus,Pierre Kerfriden +1 more
TL;DR: In this article, a cut finite element method for two-phase Navier-Stokes flows is presented, where the main feature is the formulation of a unified continuous interior penalty stabilisation approach for the stabilisation of the advection and the pressure-velocity coupling.
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Unified adaptive Variational MultiScale method for two phase compressible–incompressible flows
TL;DR: In this article, a new stabilized finite element method was proposed to solve the two phase compressible-incompressible fluid flow problems using the level set method, where an anisotropic mesh adaptation with a regularized interface was adopted to deal with high discontinuity in the material properties.
References
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Volume of fluid (VOF) method for the dynamics of free boundaries
C.W Hirt,B. D. Nichols +1 more
TL;DR: In this paper, the concept of a fractional volume of fluid (VOF) has been used to approximate free boundaries in finite-difference numerical simulations, which is shown to be more flexible and efficient than other methods for treating complicated free boundary configurations.
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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.
Journal Article
Bubbles, Drops, and Particles
TL;DR: In this paper, the authors evaluated the applicability of the standard κ-ϵ equations and other turbulence models with respect to their applicability in swirling, recirculating flows.
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Numerical analysis of blood flow in the heart
TL;DR: In this article, the authors extended previous work on the solution of the Navier-Stokes equations in the presence of moving immersed boundaries which interact with the fluid and introduced an improved numerical representation of the δ-function.