Stationary compressible Navier–Stokes equations with inflow condition in domains with piecewise analytical boundaries

Steady compressible heat-conductive fluid with inflow boundary condition

In this paper, we study strong solutions to the steady compressible heat-conductive fluid near a non-zero constant flow with the Dirichlet boundary condition for the velocity on the inflow and outflow part of the boundary. We also consider the Dirichlet boundary condition for the temperature, and we do not need the thermal conductivity coefficient κ to be large. The existence of strong solution...

Weakly Hyberbolic Equations in Domains with Boundaries

Universit at Konstanz Weakly Hyberbolic Equations in Domains with Boundaries Weakly Hyperbolic Equations in Domains with Boundaries

We consider weakly hyperbolic equations of the type u tt (t)+a(t)Au(t) = f(t; u(t)), u(0) = u 0 , u t (0) = u 1 ,u(t) 2 D(A), t 2 0; T], for a function u : 0; T] ?! H, T 2 0; 1], H a separable Hilbert space, A being a non-negative, self-adjoint operator with domain D(A). The real function a is assumed to be non-negative, continuous and (piecewise) continuous diierentiable, and the derivative a ...

A Simplified Curved Boundary Condition in Stationary/Moving Boundaries for the Lattice Boltzmann Method

Lattice Boltzmann method is one of computational fluid dynamic subdivisions. Despite complicated mathematics involved in its background, end simple relations dominate on it; so in comparison to the conventional computational fluid dynamic methods, simpler computer programs are needed. Due to its characteristics for parallel programming, this method is considered efficient for the simulation of ...

Analytical Approach to Differential Equations with Piecewise Continuous Arguments via Modified Piecewise Variational Iteration Method

In the present article, we apply the modified piecewise variational iteration method to obtain the approximate analytical solutions of the differential equations with piecewise continuous arguments. This technique provides a sequence of functions which converges to the exact solution of the problem. Moreover, this method reduces the volume of calculations because it does not need discretization...