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The complex structures were reoptimized with the PM6/Mozyme method with implicit solvation in water.
A two-phase 2D model that combines the volume of fluid (VOF) method with implicit staggered finite volumes discretization of the Navier Stokes equation is presented.
The time and spatially dependent radiation field is determined by solving the radiative transfer equation with the multigroup discrete ordinate SN method with implicit time differencing.
To solve the equations, we use an adaptive finite element method with implicit coupling between the Navier Stokes and the diffuse interface inextensibility equations.
The black-box method with implicit gradients seems to provide a good compromise of features, and can be retrofitted to most existing analysis codes to turn them into design codes.
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In [13], Wang and Shu obtain the optimal error estimate of the LDG method with implicit-explicit time-marching for nonlinear convection-diffusion problems, when the fluxes are chosen to be the general monotone fluxes and alternating fluxes.
For CFD solvers utilizing the Finite Volume Method (FVM) with implicit time stepping or a segregated pressure solver, a large portion of the computation time is spent solving a large linear system with a sparse coefficient matrix.
Zhu and Bridson [4] proposed a method with an implicit function to get scalar field creating smooth surfaces.
The developed in-house simulator utilizes Newton Raphson iterative method with fully implicit type equations to solve for the unknowns at the same times step.
Generally speaking, we are able to achieve speedups of up to two orders using the p-multigrid method with the implicit smoother.
We exemplify it for the two-point finite volume method with fully implicit Euler time stepping, the Newton linearization, and the GMRes algebraic solver.
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