A new use of smoothed particle hydrodynamics (SPH) in fluid simulation is presented: an algorithm solving the Helmholtz-Hodge decomposition using SPH in order to find the null divergence velocity field for incompressible flow simulation. Accordingly, a new version of the Laplacian for a vector field is proposed here. In order to improve the accuracy of the SPH technique, the paper also presents...

The coupled Stokes and Darcy equations are approximated by a strongly conservative finite element method. The discrete spaces are the divergence-conforming velocity space with matching pressure space such as the Raviart-Thomas spaces. This work proves optimal error estimate of the velocity in the L2 norm in the domain and on the interface under weak regularity assumptions.

This paper studies L2 norm error estimate for the div-curl leastsquares finite element method for Stokes equations with homogenous velocity boundary condition. The analysis using a different way from that in [11] shows that, without the divergence of the vorticity, the L2 norm error bound of the velocity is O(h 3 2 ) in the standard linear element method. AMS Subject Classification: 65N30

In this paper we construct Discontinuous Galerkin approximations of the Stokes problem where the velocity field is H(div,Ω)-conforming. This implies that the velocity solution is divergence-free in the whole domain. This property can be exploited to design a simple and effective preconditioner for the final linear system.

Background 4D flow MRI has the potential to provide global quantification of cardiac flow in a single acquisition [Hsiao, 2012]. However, 4D flow data are often compromised by low velocity-to-noise ratio, potentially caused by MRI acceleration or unfitting vencs. Since blood flow is approximately divergence-free, noise level can be reduced by removing divergence from noisy flow data [Song, 1993...

in this research between 3-dimensional and axisymmetric modeling for movement of nano-particles in passing through a aerodynamic lens, and also between these models and famous model of wang & liu was compared. for this purpose, output of nano-particles penetration, divergence angel, and nano-particle velocity with wang & liu model was compared. geometrical model used for aerodynamic lens compar...

Previous work has shown that the disparity vergence eye movement system responds to inward (i.e., convergent) ramp stimuli with both smooth and step-like behavior depending on target velocity. The responses to diverging ramp stimuli have not been previously studied, but convergence and divergence responses to other stimuli often show different behaviors. Converging and diverging 6 degrees/s ram...

In this paper, we consider an exactly divergence-free scheme to solve the magnetic induction equations. This problem is motivated by the numerical simulations of ideal magnetohydrodynamic (MHD) equations, a nonlinear hyperbolic system with a divergence-free condition on the magnetic field. Computational methods without satisfying such condition may lead to numerical instability. One class of me...

Shear wave velocity (Vs) is known as one of the fundamental material parameters which is useful in dynamic analysis. It is especially used to determine the dynamic shear modulus of the soil layers. Nowadays, several empirical equations have been presented to estimate the shear wave velocity based on the results from Standard Penetration Test (SPT) and soil type. Most of these equations result i...