A multilevel finite element method in space-time for the two-dimensional nonstationary Navier-Stokes problem is considered. The method is a multi-scale method in which the fully nonlinear Navier-Stokes problem is only solved on a single coarsest space-time mesh; subsequent approximations are ...
Stokes equations in the subdomains.Secondly , the non-iterative Newton scheme isused in the space for linear correction , with the generalized linear Stokes problem directly solvedin time , thus the nonlinear equations being converted into the linear equations.Finally , the twosubdomains after ...
Problem 1 (Interior regularity) Consider the classical Navier–Stokes system (1.1)∂tv+v⋅∇v−Δv=f−∇p,div v=0 in the canonical domain Q = B×] − 1, 0[⊂ ℝ3× ℝ1. Here, B is the unit ball of ℝ3 centered at the space origin x = 0, v and p st...
摘要Navier-Stokes方程是从复杂的流体运动中简化出来的一个重要模型问题, 通过对这个模型的深入研究,可以帮助我们了解掌握自然规律,从而推动自然 科学的进步。但是Navier-Stokes方程是一个非线性偏微分方程组,求解非常困 难,到目前为止,也只有极少数非常简单的流动问题才能求得其精确解,大多数 还是要通过离散方法求得数...
Different numerical approaches have been proposed in the past to solve the Navier-Stokes equations. Conventional methods have often relied on finite-difference, finite-element, and boundary-element techniques. Multi-grid methods have been recently introduced because they help promote a faster convergence...
“supercriticality barrier” for the global regularity problem for the Navier-Stokes equation, which roughly speaking asserts that it is not possible to establish global regularity by any “abstract” approach which only uses upper bound function space estimates on the nonlinear part of the equation,...
A Godunov-type high-resolution scheme based on unstructured meshes for solving the Euler and Navier-Stokes equations governing atmospheric flows is described. The Riemann problem in the Godunov's method is solved using the Harten-Lax-van Leer-Contact (HLLC) approximate Riemann solver. Higher-order ...
Numerical solution of the Navier-Stokes equations 来自 Elsevier 喜欢 0 阅读量: 987 作者: AJ Chorin 摘要: A finite-difference method for solving the time-dependent Navier Stokes equations for an incompressible fluid is introduced. This method uses the primitive variables, i.e. the velocities ...
As an example, conjugate heat transfer may be the second physics solved in a multiplicative (Gauss–Seidel) split with Navier–Stokes solved first. 2.2.5. Other functionality MOOSE navier_stokes supports hybrid memory parallelization, including both distributed memory via the message-passing interface ...
In this paper the incompressible Navier-Stokes equations are discretized by the finite element method. After linearization large, sparse systems of linear equations have to be solved. A well known problem is the occurrence of zero elements on the main diagonal. We describe ordering techniques of ...