Journal ArticleDOI
A Comparative Study of Two Different Density Estimation Techniques for Multi-Phase Flow Simulations Using SPH
TLDR
Smoothed particle hydrodynamics (SPH) is a mesh-free, Lagrangian method, highly suitable for numerical simulation of free-surface and interfacial flows.Abstract:
Smoothed particle hydrodynamics (SPH) is a meshfree, Lagrangian method, highly suitable for numerical simulation of free-surface and interfacial flows. In the SPH literature, several numerical algo...read more
Citations
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Book ChapterDOI
Introduction to the Finite Element Method
Nathan Ida,João P. A. Bastos +1 more
TL;DR: This chapter introduces the finite element method (FEM) as a tool for solution of classical electromagnetic problems and discusses the main points in the application to electromagnetic design, including formulation and implementation.
Journal ArticleDOI
A stable SPH model with large CFL numbers for multi-phase flows with large density ratios
TL;DR: In this article , the authors developed a weakly compressible smoothed particle hydrodynamics (SPH) model for multi-phase flows with large density ratios while allowing large CFL numbers.
Journal ArticleDOI
Fluid-elastic structure interaction simulation by using ordinary state-based peridynamics and peridynamic differential operator
Yan Gao,Selda Oterkus +1 more
TL;DR: In this article, a non-local numerical model is developed for the simulations of weakly compressible viscous fluid and elastic structure interactions, where the elastic structure is described by using the ordinary state-based peridynamics, while the fluid is modeled by utilizing the peridynamic differential operator.
Journal ArticleDOI
Multi-phase fluid flow simulation by using peridynamic differential operator
Yan Gao,Selda Oterkus +1 more
TL;DR: It can be concluded from the current study that the peridynamic differential operator can be applied as an alternative method for multi-phase fluid flow simulation.
Journal ArticleDOI
Field Scale Modelling of Explosion-Generated Crack Densities in Granitic Rocks Using Dual-Support Smoothed Particle Hydrodynamics (DS-SPH)
Saba Gharehdash,Saba Gharehdash,Bre-Anne Sainsbury,Milad Barzegar,Igor B. Palymskiy,P. A. Fomin +5 more
TL;DR: In this article, a dual-support smoothed particle hydrodynamics (DS-SPH) method is developed to quantify explosion-generated crack densities within granitic rock masses in field-scale computational domains.
References
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Journal ArticleDOI
Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Stanley Osher,James A. Sethian +1 more
TL;DR: The PSC algorithm as mentioned in this paper approximates the Hamilton-Jacobi equations with parabolic right-hand-sides by using techniques from the hyperbolic conservation laws, which can be used also for more general surface motion problems.
Journal ArticleDOI
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.
Journal ArticleDOI
A continuum method for modeling surface tension
TL;DR: In this paper, a force density proportional to the surface curvature of constant color is defined at each point in the transition region; this force-density is normalized in such a way that the conventional description of surface tension on an interface is recovered when the ratio of local transition-reion thickness to local curvature radius approaches zero.
Journal ArticleDOI
Smoothed particle hydrodynamics: Theory and application to non-spherical stars
R. A. Gingold,Joseph J Monaghan +1 more
Journal ArticleDOI
A numerical approach to the testing of the fission hypothesis.
TL;DR: A finite-size particle scheme for the numerical solution of two-and three-dimensional gas dynamical problems of astronomical interest is described and tested in this article, which is then applied to the fission problem for optically thick protostars.