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This yields a very stable and accurate time marching procedure.
Then, a proper time marching procedure is applied to solve the time-dependent problem.
One method of 3D generation is based on the marching procedure of the parabolic generator.
The time-dependent primitive equations are solved sequentially using explicit time marching procedure.
The formulation is based on general fluid governing equations and a time marching procedure.
The solution obtained on this line is then used as an initial condition for a two-dimensional marching procedure.
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The present work proposes a novel time-marching procedure, which is designed for the dynamic simulation of the coupled two phase Biot equations, considering the displacement pressure (u−p) formulation.
The highly nonlinear equations due to contact conditions are solved through an explicit prediction correction time-marching procedure combined with the Lagrange multiplier approach dealing with a node-to-line contact strategy.
In Figures 1 and 2, we plot the curve figures of the approximating errors (( vert u(x_{i},t_{M} -u_{i}^{M} -u_{i}) with different mesh sizes at the final time step (t_{M}=1) via a time-marching procedure, where (gamma_{1}=0.8) and (lambda=1.0) when (alpha=1.5) for Example 1 and (alpha=1.8) for Example 2, respectively.
The new formulation is a sequential time marching fractional-step procedure based in a splitting technique to decouple the equations with mixed discretization techniques for each of the subproblems: convection, diffusion, and pressure velocity.
ISR was induced in tomato (Lycopersicon esculentum) cv "merveille des marches", according to the procedure described in [ 22].
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