integral equationNavier–Stokes equationsvelocity–In the present work, an indirect boundary integral method for the numerical solution of Navier–Stokes equations formulated in velocity–vorticity dependent variables is proposed. This wholly integral approach, based on Helmholtz's decomposition, deals ...
doi:10.1002/9781119301066.ch4analytical solutionBurgers' equationNavier‐Stokes equationsnumerical solutionpartial differential equationsspline collocation method of linesSchiesser, William EJohn Wiley & Sons, Inc.
Navier–Stokes equationsVlasov–Fokker–Planck equationscompressible flowsweak solutionsGalerkin methodA fluid–particles system of the compressible Navier-Stokes equations and Vlasov-Fokker-Planck equation (including the case of Vlasov equation) in three-dimensional space is considered in this pape...
asymptotic behaviorRiccati equationheat equationIn this paper, we establish exact solutions of the Cauchy problem for the 3D cylindrically symmetric incompressible Navier–Stokes equations and further study the global existence and asymptotic behavior of solutions. Copyrightdoi:10.1002/mma.4324Qin, Yuming...
A system of Navier–Stokes-type equations with two temperatures is derived, for a polyatomic gas with temperature-dependent specific heats (thermally perfect gas), from the ellipsoidal statistical (ES) model of the Boltzmann equation extended to such a gas. Subsequently, the system is applied to ...
Obviously, the vanishing viscosity limit for the nonhomogeneous incompressible Navier–Stokes equation seems more complex because of the close coupling between density and velocity. One of the difficulties is to show that the time of solution is independent of the viscosity. Consequently, we assume ...
We differentiate the first equation of the system with respect to x and the second with respect to y, and we sum up the results. As a result of the algebraic manipulations, due to the fact that partial derivatives on analytical functions are always commutative, we obtain the following ...
Navier–Stokes equation; radial basis function finite difference method; polynomial; Oseen iteration1. Introduction The Navier–Stokes equations are a set of equations used to describe fluid substance such as liquid and air, and can be used to simulate weather, ocean currents, water flows in pipes...
Some novel analytical solutions of a new extented (2+1)-dimensional Boussinesq equation using a novel method. J. Ocean. Eng. Sci. 2022, 10, 1–5. [Google Scholar] [CrossRef] Cai, X.; Jiu, Q. Weak and strong solutions for the incompressible Navier-Stokes equations with damping. J. ...
It performs well for the AC equation. For other equations, the objective function has a convergence problem due to the existence of the Max system. A strategy for adaptive resampling of configuration points is proposed to improve the convergence and accuracy of some partial differential equations ...