Topic
Projection method
About: Projection method is a research topic. Over the lifetime, 3685 publications have been published within this topic receiving 85244 citations.
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TL;DR: A new divergence-free ISPH approach is proposed here which maintains accuracy and stability while remaining mesh free without increasing computational cost by slightly shifting particles away from streamlines, although the necessary interpolation of hydrodynamic characteristics means the formulation ceases to be strictly conservative.
572 citations
TL;DR: In this article, the authors developed an accurate representation of the body force due to surface tension, which effectively eliminates spurious currents, and called this algorithm PROST: parabolic reconstruction of surface tension.
544 citations
TL;DR: In this article, the authors re-introduce the consistent mass matrix into some semi-implicit projection methods in such a way that the cost advantage of lumped mass and the accuracy advantage of consistent mass are simultaneously realized.
Abstract: Ever since the expansion of the finite element method (FEM) into unsteady fluid mechanics, the «consistent mass matrix» has been a relevant issue. Applied to the time-dependent incompressible Navier-Stokes equations, it virtually demands the use of implicit time integration methods in which full «velocity-pressure coupling» is also inherent. We re-introduce the consistent mass matrix into some semi-implicit projection methods in such a way that the cost advantage of lumped mass and the accuracy advantage of consistent mass are simultaneously realized
527 citations
TL;DR: In this article, a semi-implicit discretization for the convective Cahn-Hilliard equation with high-resolution schemes employed for direct numerical simulations of turbulence is proposed.
512 citations
TL;DR: In this paper, the authors present a numerical method for computing solutions of the incompressible Euler or Navier?Stokes equations when a principal feature of the flow is the presence of an interface between two fluids with different fluid properties.
503 citations