Analytical solution of time-fractional Navier-Stokes equation in polar coordinate by homotopy perturbation method, Numer. Methods Partial Differential Equations 26,117-124.Ganji Z, D.Ganji D, A.D.Ganji AD, Rost
Mingming That means you want to write the Reynolds transport equation in spherical coordinates and then mass, momentum and energy? February 16, 2022, 05:25 #4 optimux Member Mingming Zhang Join Date: Dec 2019 Posts: 35 Rep Power: 6 Quote: Originally Posted by Gerry Kan Dear Mingmi...
inthis case,we facetothreedifficult problems.The firstoneishowtomatchthe velocity and pressure onthe boundary ofobstacle exactly.Wemay dealwiththe boundary values approximately.However, itinducesadditionalerrors,In opposite,if we adopt the polarcoordinates,then the abovetroubleno longerappears。Next,the...
newfu11vnonlinearnumericalmodelinathreedimensionalsphericalcoordinatesisestablished.Inthe constructionofthenumericalmodel,thespectralallocationmethodwasusedton啪ericaUyresolve theNavier.Stokesequations,whichwastakingasthegoverningequations.Inthespecificationofthe
Besides, in the velocity–vorticity formulation, the continuity equation is not explicitly imposed in the solution procedure, and consequently it is not possible to guarantee that conservation of mass can be satisfied at a given local control volume inside the problem domain [8]. Different numerical...
Due to the diversity and complexity of the physical phenomena related to wave–structure interaction, analytical, or semi-analytical approaches, such as the Morison equation (Morison et al., 1950), albeit widely used in the industry, are limited to small wave steepness. Model-scale experiments, ...
Singh, H. A new stable algorithm for fractional Navier-Stokes equation in polar coordinate. Int. J. Appl. Comp. Math. 2017, 3, 3705-3722. [CrossRef]H. Singh, A new stable algorithm for fractional Navier-Stokes equation in polar coordinate, Int. J. Appl. Comput. Math. (2017), http:...
Singh, H. A new stable algorithm for fractional Navier-Stokes equation in polar coordinate. Int. J. Appl. Comp. Math. 2017, 3, 3705-3722. [CrossRef]H. Singh, A new stable algorithm for fractional Navier-Stokes equation in polar coordinate, Int. J. Appl. Comput. Math. (2017), http:...
Navier-Stokes equationsymmetry solutionsstationary KDV正This note looks at the two similarity solutions of the Navier-Stokes equations in polar coordinates. In the second solution an initial value problem is reduced into generalized stationary KDV and hence integrable.doi:10.1088/0253-6102/53/3/33Fakha...
The (kappa) - (epsilon) model equations are treated as well, and the treatment of a generic scalar advection equation may easily be inferred. Rotation about the polar axis is included. The study points out the differences between discretization in Cartesian and polar coordinates. Hence, with ...