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 ...
Shimano, K., Arakawa, C.: Incompressible Navier-Stokes Solver Using Extrapolation Method Suitable for Massively Parallel Computing, Comp. Mech., 23 , 172–181 (1999)Shimano, K., Arakawa, C.: Incompressible Navier-Stokes Solver Using Extrap- olation Method Suitable for Massively Parallel Computing...
Tony W. H. Sheusupa/supsupb/supsupc/supsup*/sup &C. H. Yusupa/supTaylor & Francis GroupNumerical Heat Transfer FundamentalsT. W. H. Sheu and C. H. Yu, Development of an Incompressible Navier-Stokes Solver Involving Symplectic and Non-Symplectic Time Integrators, Numer. Heat Transfer ...
We first construct the global existence of the classical solutions near the absolute equilibrium to the Boltzmann equation with general collision kernels under the Navier-Stokes scaling in whole space. In particular, a global energy estimate uniform in the Knudsen number is derived. Then using the ...
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...
A three-dimensional incompressible Navier-Stokes solver using primitive variables. AIAA Journal 1986; 24(3):390-396.Kwak, D., Chang, J. L. C., Shanks, S. P., and Chakravarthy, S. K., "A Three-Dimensional Incompressible Navier-Stokes Solver Using Primitive Variables," AIAA J., Vol. ...
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...
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...
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 Maxwell–Stefan equations for the molar fluxes, supplemented by the incompressible Navier–Stokes equations governing the fluid velocity dynamics, are analyzed in bounded domains with no-flux boundary conditions. The system models the dynamics of a multicomponent gaseous mixture under isothermal conditi...