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A steady solution of the governing equations is constructed through domain decomposition, scaling and matching.
Let L : X 1 → x be a sectorial operator, G : X α → X be a C r ( r ≥ 1 ) mapping for certain 0 ≤ α < 1, v be a steady solution of (4.1).
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It is not difficult to verify that v 0 = a 2 4 a 3 is a positive steady solution of system (5.1).
The main drawback of such a design tool is the long computational time required owing to the large number of particles and the minute time-step required to maintain a steady solution while simulating the flow of particulate materials with very fine particles.
To illustrate the performance of our approaches, we present some numerical applications to the steady solution of a two-dimensional Euler flow.
The steady solution of the governing equations is obtained through a transient algorithm that allows to compute solutions at an imposed flow rate.
However, it seems that this issue is more a feature than a problem when considering steady solutions of the SWE containing hydraulic jumps.
We try to stabilize steady solutions of a physical model described by wave equations with nonlinear boundary conditions.
A multigrid method for computing steady solutions of the compressible Navier Stokes equations is described.
Σ λ is homeomorphic to S 1 and consists of exactly one cycle of steady solutions of (1.1). .
We obtain the steady solutions of the above model equation for the inverse problem for weakly undulated free surface profile by a perturbation method.
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CEO of Professional Science Editing for Scientists @ prosciediting.com