We consider a curvature flow $$V=H$$ in the band domain $$\Omega :=[-1,1]\times \mathbb {R}$$ , where, for graphic curve $$\Gamma _t$$ V denotes its normal velocity and H curvature. If contacts two boundaries $$\partial _\pm \Omega $$ of with constant slopes, 1993, Altschular Wu (Math Ann 295:761–765, 1993) proved that converges to grim reaper contacting same prescribed slopes. In this paper we...

The phase flow method was originally introduced in [28] which can efficiently solve autonomous ordinary differential equations. In [13], the method was generalized to solve Hamiltonian system where the Hamiltonian function was discontinuous. However, both these methods require phase flow map constructed on an invariant manifold. This can increase computational cost when the invariant domain is ...

In this study, inelastic constitutive modelling is considered for the simulation of shear-thinning fluids through a circular channel. Numerical solutions are presented for power-law inelastic model, considering axisymmetric Poiseuille flow through a channel. The numerical simulation of such fluid is performed by using the Galerkin finite element approach based on artificial compression method (...

Based on reproducing kernel theory, an effective numerical technique is proposed for solving second order linear two-point boundary value problems with deviating argument. In this method, reproducing kernels with Chebyshev polynomial form are used (C-RKM). The convergence and an error estimation of the method are discussed. The efficiency and the accuracy of the method is demonstrated on some n...

in this study, a pellet scale model was developed for trickle bed reactor utilizing cfd techniques. drag coefficients were calculated numerically at different velocities and bulk porosities in the case of single phase flow through the dry bed. the simulation results were then compared with the prediction of kozeny-carman (k-c) equation. the results indicated that drag coefficients calculated fr...

Interactions between an evolving solid and inviscid flow can result in substantial computational complexity, particularly circumstances involving varied boundary conditions the fluid phases. Examples of such interactions include melting, sublimation, deflagration, all which exhibit bidirectional coupling, mass/heat transfer, topological change solid–fluid interface. The diffuse interface method...

We are concerned with the study of the diffusion and homogenization approximation of the Boltzmann-Poisson system in presence of a spatially oscillating electrostatic potential. By analyzing the relative entropy, we prove uniform energy estimate for well prepared boundary data. An averaging lemma and two scale convergence techniques are used to prove rigorously the convergence of the scaled Bol...