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A first-order implicit scheme was used for the temporal discretization of the transient term, and a variable time step with a minimum value of \(10^{-6}\) s with a fixed global Courant number of 1 was used. Results Figure 5 illustrates the right-side view and top view of the saline...
Modeling the impact of a molten metal droplet on a solid surface using variable interfacial thermal contact resistance An analytical model of the true area of contact between molten metal and a rough, solid surface has been used to calculate thermal contact resistance and t... M Xue,Y Heichal...
// Solve equation [2] for the variable x [2] x = 3y - 2z - 8 // Plug this in for variable x in equation [1] [1] 2•(3y-2z-8) + 3y + z = 17 [1] 9y - 3z = 33 // Plug this in for variable x in equation [3] [3] 5•(3y-2z-8) - 2y + 3z = 5 [...
A truly three-dimensional(3D)gas-kinetic flux solver for simulation of incompressible and compressible viscous flows is presented in this work.By local reconstruction of continuous Boltzmann equation,the inviscid and viscous fluxes across the cell interface are evaluated simultaneously in the solver....
(14)] in the variable saturation. These two pieces will be treated differently when we used numerical methods. The hyperbolic PDEs is responsible for the shock formation when the flow passes through a discontinuity and has to be treated using a mass-conservative numerical method. Permeabilities ...
Therefore, each node in the background mesh is associated with, for 2D plane strain problems, five unknown degrees of freedom, i.e., two soil displacement components for the solid and the fluid phases and one pore pressure variable. More details regarding the fundamentals of the numerical ...
However, the discontinuous nature of the SMC law can lead to a chattering effect, characterized by high-frequency oscillations of the controlled variable when the system state reaches the sliding surface. This chattering effect can have detrimental consequences on actuator control and excite unwanted un...
Brinkmann number Br ¼ lU2 ðxÞ kf DT , non-dimension tem- perature variance X ¼ Tf ÀT1 T1 ;mass diffusion factor R ¼ DBðCwÀC1Þ kf , concentration variance variable R ¼ DC C1 The Bejan number (Be), is defined by: Be ¼ Rexh02ðgÞ !
Based on our numerical experiments, we have observed the need to have a variable penalty parameter in space and time to optimise the numerical solving and the physical meaning of the numerical solution (u*,p*). The previous remarks are emphasized by multiphase flow problems. Our main ...