We aim to derive the incompressible Navier–Stokes equations from classical mechanics. We define Lagrange and Euler coordinates and the mass density within the framework of measure theory. This yields a mathematical statement that expresses the mass conservation principle, which allows to derive the ...
In this short chapter, the Navier-Stokes equations governing the motion of a viscous incompressible fluid are recalled. Two formulations are considered: the velocity-pressure formulation (also called “primitive variables” formulation) and the vorticity-streamfunction formulation. The formulation using vor...
内容提示: An implicit staggered hybrid f i nite volume/f i nite element solverfor the incompressible Navier-Stokes equationsA. Lucca 1 , S. Busto 2 , M. Dumbser 3(1)Department of Mathematics, University of Trento, Via Sommarive 14, 38123 Trento, Italy(2)Departamento de Matemática ...
This paper is concerned with the 3D incompressible Navier–Stokes equations with density-dependent viscosity in a smooth bounded domain. The global well-posedness of strong solutions is established for the case when the bound of density is suitably small, or when the total mass is small with larg...
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...
, Thomann , E. , and Waymire , E. , " Symmetry breaking and uniqueness for the incompressible Navier-Stokes equations ," Chaos 25 , 075402 ( 2015 ).Dascaliuc, R. , N. Mlchalowski , E. Thomann , E. Waymire (2015). Symmetry Breaking and Uniqueness for the Incompressible Navier-...
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...
不可压 avier Stokes 方程基于误差估算的 网格自适应解法 周春华 ( 南京航空航天大学空气动力学系 南京 210016) 摘要 : 首先导出了广义方程 P -G 有限元数值解的当地事后误差估算公式 ; 以非连续二阶鼓 包 (b ) 函数空间为速度 ~ 压强误差的近似空间 该估算基于求解当地单元上的广义问题...
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 ...
Two and three dimensional multi-moment finite volume solver for incompressible Navier-Stokes equations on unstructured grids with arbitrary quadrilateral and hexahedral elements. Comput Fluids 2014;104:40-54.B. Xie and F. Xiao, Two and three dimensional multi-moment finite volume solver for in- ...