Sentence examples for viscous problem from inspiring English sources

Finally the IFR method is applied to simulate viscous flow pass a cylinder at Reynolds number 150 to show its capability for viscous problem.

In Section 3, we present the viscous problem and give a corresponding well-posedness result.

In Section 3, we present a viscous problem of Eq. (1) and give a corresponding well-posedness result.

Namely, the strong convergence of q ε is necessary to be established if we want to send ε to zero in the viscous problem (11).

It is well known that the small viscous problem is a challenge subject due to the singularity of the numerical solutions.

The existence of a weak solution to the Cauchy problem (4) will be established by proving compactness of a sequence of smooth functions { u ε } ε > 0 solving the following viscous problem: { ∂ u ε ∂ t + u ε ∂ u ε ∂ x − γ α 2 ∂ u ε ∂ x + ∂ P ε ∂ x = ε u x x, P ε = Λ − 2 [ 1 2 u ε 2 − γ α 2 u ε − α 2 2 ( ∂ u ε ∂ x ) 2 − f ( u ε ) ], u ε ( 0, x ) = u ε, 0. (11).

In this paper, we present a stable hybrid scheme for viscous problems.

This paper discusses effects of high-frequency damping on iterative convergence of an implicit defect-correction solver for viscous problems.

The validations imply that the proposed IFR method is accurate and effective for inviscid and viscous problems with complex geometry.

Our approach here ignores inertial effects; thus the motion is only correct as an approximation for very viscous problems.

The accuracy and efficiency of the developed hybrid central-WENO scheme are investigated through numerical experiments on inviscid and viscous problems.