A variational problem for three fluids in which gravitational and surface tension forces are in equilibrium is studied using sets of finite perimeter and functions of bounded variation. Existence theorems are proven which imply the existence of an axisymmetric floating drop. This problem has been studied previously as a free boundary problem for axisymmetric capillary surfaces by Elcrat, Neel a...

The current paper aims at assessing the effect of radial mesh on description axial velocity in steady-state and transient conditions presenting results a new optimized equal-area mesh. For this purpose, quasi-2D model is implemented tested for different configurations sizes. A two-region geometry with 40 cylinders proposed to optimize wall shear stress immediately after each pressure variation....

An adaptive mesh method is presented for numerical simulation of shock-induced combustion. The method is composed of two independent ingredients: a flow solver and a mesh redistribution algorithm. The flow solver is a finite-volume based second-order upwind TVD scheme, together with a lower–upper symmetric Gauss–Seidel relaxation scheme for solving the multispecies Navier–Stokes equations with ...

Bulk carriers have an important role in international maritime transport. In this paper, we carried out a numerical study on a model of bulk carrier vessel and calculated total resistance of the model. A model of a bulk carrier vessel with length of 2.76 m, breadth of 0.403 m and draught of 0.173 m was selected for numerical modeling. Numerical work was done by commercial CFD software ANSY...

• New approach for initial callus growth in bone fracture healing. Finite Element of the diffusion problem concerning biological magnitudes. Geometrical algorithm with automatic remeshing. Natural growth, without previous mesh affecting conditions and direction growth. The incidence has become a major clinical on worldwide scale. In past two decades there been an increase use computational tool...

We compare the performance of linear and quadratic discontinuous finite elements methods spatial discretizations (LDFEM and QDFEM) of the SN transport equation on triangles in twodimensional, axisymmetric coordinate system (r-z). Numerical results reveal that both unlumped and fully lumped LDFEM are second order accurate as expected. The QDFEM exhibits third order accuracy. Because the QDFEM is...

We investigate how the choice of either no-slip or stress-free boundary conditions affects numerical models of rapidly rotating flow in Earth's core by computing solutions of the weakly-viscous magnetostrophic equations within a spherical shell, driven by a prescribed body force. For non-axisymmetric solutions, we show that models with either choice of boundary condition have thin boundary laye...

In this paper an upwind algorithm based on Roe’s scheme is presented for solution of PNS equations. Non iterative-implicit method using finite volume technique is used. The main advantage of this approach, in comparison with similar upwind methods, is reduction of oscillations around sonic line. This advantage causes the present method to be able to analyze supersonic flows with free stream Mac...