Journal Article10.1016/J.JCP.2014.01.051
A second order virtual node algorithm for Navier-Stokes flow problems with interfacial forces and discontinuous material properties
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Citations
Imposing Dirichlet boundary conditions in the eXtended Finite Element Method
Gaëtan Bricteux,Jean-François Remacle,Marc Duflot +2 more
- 01 Jan 2011
TL;DR: In this article, the imposition of Dirichlet boundary conditions in a non-conformal mesh can be done with the use of Lagrange multipliers, but this leads to an over-constrained problem that produces an unstable solution if the finite element subspace for the Lagrange multiplier field does not satisfy the inf-sup condition.
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Robust eXtended finite elements for complex cutting of deformables
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A hybrid lagrangian/eulerian collocated velocity advection and projection method for fluid simulation
Steven Gagniere,David A. B. Hyde,Alan Marquez-Razon,Chenfanfu Jiang,Z. Ge,Xuchen Han,Qi Guo,Joseph Teran +7 more
- 06 Oct 2020
TL;DR: The projection technique is variational and designed for B‐spline interpolation over regular grids where multiquadratic interpolation is used for velocity and multilinear interpolation for pressure, and extends the variational technique to allow for cut‐cell definition of irregular flow domains for both Dirichlet and free surface boundary conditions.
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Fully implicit and accurate treatment of jump conditions for two-phase incompressible Navier-Stokes equations
Hyuntae Cho,Myungjoo Kang +1 more
TL;DR: Numerical results support the inference that the proposed method converges in $L^\infty$ norms even when velocities and pressures are not smooth across the interface and can handle a large density ratio that is likely to appear in a real-world simulation.
9
A Hybrid Lagrangian/Eulerian Collocated Advection and Projection Method for Fluid Simulation
Steven Gagniere,David A. B. Hyde,Alan Marquez-Razon,Chenfanfu Jiang,Ziheng Ge,Xuchen Han,Qi Guo,Joseph Teran +7 more
TL;DR: A hybrid particle/grid approach for simulating incompressible fluids on collocated velocity grids is presented and a novel Backward Semi-Lagrangian method is derived to improve accuracy of grid based advection.
References
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Guang-Shan Jiang,Chi-Wang Shu +1 more
TL;DR: A new way of measuring the smoothness of a numerical solution is proposed, emulating the idea of minimizing the total variation of the approximation, which results in a fifth-order WENO scheme for the caser= 3, instead of the fourth-order with the original smoothness measurement by Liuet al.
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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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Efficient implementation of essentially non-oscillatory shock-capturing schemes,II
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TL;DR: Two methods of sharpening contact discontinuities-the subcell resolution idea of Harten and the artificial compression idea of Yang, which those authors originally used in the cell average framework-are applied to the current ENO schemes using numerical fluxes and TVD Runge-Kutta time discretizations.
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Efficient implementation of essentially non-oscillatory shock-capturing schemes, II
ShuChi-Wang,OsherStanley +1 more
TL;DR: This work extends earlier work on the efficient implementation of ENO (essentially non-oscillatory) shock-capturing schemes by providing a new simplified expression for the ENO constructio...
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