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In this work we suggest a new way to solve pressure load problems in topology optimization.
Sigmund, P.M. Clausen, Topology optimization using a mixed formulation: an alternative way to solve pressure load problems, Comput.
Standard discretisation method is used to solve pressure whereas; others are solved by second order upwind discretisation method.
In this study, finite difference method is used to solve pressure, temperature and saturations; and finite volume method is acquired to solve the rock stresses.
Next, the commercial CAE simulation software tool, Moldflow, is utilized to create the finite element model and uses the finite element and finite difference method to solve pressure, flow, and temperature fields of injection molding (Walsh 1993; Mackerle 2005; Shoemaker 2006).
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Those two improvements potentially reduce the risk of high local pressure and gain clinical benefits to solve pressure-related skin problems.
The purpose of this paper is to define, in a CAPE-OPEN compliant environment, a strategy to solve pressure-driven steady-state simulation problems, i.e. pure simulation and design problems, in the specific context of hydrocarbon production and transport from the wellbore to the surface facilities.
The two-step projection method is employed in the numerical solutions, aided by the Bi-CGSTAB technique to solve the pressure Poisson equation for the filtered pressure field.
The Implicit-Pressure-Explicit-Saturation (IMPES) method is used to solve the pressure (Eq. 22) and saturation equations (Eq. 21).
Because both the stiffness and stability of aerostatic bearings are determined by the internal pressure distribution, the full Navier-Stokes (N-S) equations are applied to solve internal pressure distribution in bearing film by using computational fluid dynamics (CFD) method.
Several procedures have been proposed to solve the pressure diffusivity equation.
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