X. He, M. Neytcheva, Preconditioning the incompressible Navier-Stokes equations with variable viscosity. Journal of Computational Mathematics, 2012. In press.X.He and M. Neytcheva, Preconditioning the incompressible Navier-Stokes equa- tions with variable viscosity, J. Comput. Math., 30 (2012)...
生活中处处是流体,大到海洋,小到烟雾,流体在计算机图形学中扮演着重要的作用,这本书将介绍这些流体动画的基础仿真。 最著名的公式是incompressible Navier-Stokes equations: 1.1 符号 u→用来表示流体的速度 ρ用来表示流体的密度 p用来表示流体的压强,表示流体在单位面积上施加的力 g→用来表示重力 ν表示流体的粘性...
An explicit staggered projection method for the incompressible Navier–Stokes equations with no-slip walls is analyzed and used in simulations to address several issues related to the pressure boundary condition required when the continuity equation is replaced by the standard pressure Poisson equation (...
We are concerned with the existence and uniqueness issue for the inhomogeneous incompressible Navier‐Stokes equations supplemented with H 1 initial velocity and only bounded nonnegative density . In contrast to all the previous works on those topics, we do not require regularity or a positive lower...
We discretize the incompressible Navier–Stokes equations on a polytopal mesh by using mimetic reconstruction operators. The resulting method conserves discrete mass, momentum, and kinetic energy in the inviscid limit, and determines the vorticity such that the global vorticity is consistent with the bou...
In the proposed incompressible LB model, the pressure p instead of the mass density ρ is the independent dynamic variable. The incompressible Navier–Stokes equations are derived from the incompressible LB model via Chapman–Enskog procedure. Numerical results of simulations of the plane Poiseuille ...
The paper presents a finite element model for the solution of the three-dimensional, time-dependent Navier-Stokes equations. Isoparametric brick elements are used, with tri-linear interpolation for both velocity and pressure. A fractional-step algorithm is applied, and the advection-diffusion part of...
The aim of this book is to provide beginning graduate students who completed the first two semesters of graduate-level analysis and PDE courses with a first exposure to the mathematical analysis of the incompressible Euler and Navier-Stokes equations. The book gives a concise introduction to the ...
Katsaounis, A discontinuous Galerkin method for the incompressible Navier-Stokes equations, in Discontinuous Galerkin Methods. Theory, Computation and Applications, B. Cockburn, G. Karniadakis, and C.-W. Shu, eds., vol. 11 of Lect. Notes Comput. Sci. Engrg., Berlin, February 2000, Springer ...
M. NAGEL,A numerical methodfor the incompressible Navier-Stokes equations in three-dimensional cylindrical geometry, J. Comput. Physics, 78 (1988), pp. 64-78.Ann S. Almgren, John B. Bell, and William G. Szymczak, A numerical method for the incompressible navier-stokes equations based on an...