in this paper, we present a fractional mathematical model of a one-dimensional phase phase change problem (stefan problem) with latent heat a power function of position. this model includes space-time fractional derivatives in caputo sense and time dependent surface heat flux. an approximate solution of this model is obtained by optimal homotopy asymptotic method (oham) to find an approximate s...

in this paper, the role of molecular diffusion in mobilization of waterflood residual oil is examined. a moving mesh method is applied to solve the moving interface problem of residual oil blobs swelling by co2 diffusion through a blocking water phase. the results of this modeling are compared with experimental results of a 2d glass micromodel experiment. although, the solution method is applie...

there area lot of mobile computer devices with a variety of applications and users tend to use them more. due to the limitations of mobile devices, running most of the procedures are impossible. to resolve this problem, mobile devices can be connected to the grid, to use the facilities of grid. on the other hand the communication mechanisms are different for each device and they cannot be conne...

There area lot of mobile computer devices with a variety of applications and users Tend to use them more. Due to the limitations of mobile devices, running most of the procedures are impossible. To resolve this problem, mobile devices can be connected to the grid, to use the facilities of grid. On the other hand the communication mechanisms are different for each device and they cannot be c...

There area lot of mobile computer devices with a variety of applications and users Tend to use them more. Due to the limitations of mobile devices, running most of the procedures are impossible. To resolve this problem, mobile devices can be connected to the grid, to use the facilities of grid. On the other hand the communication mechanisms are different for each device and they cannot be c...

This contribution is the first part of two papers on the Fully Eulerian formulation for fluid-structure interactions. We derive a monolithic variational formulation for the coupled problem in Eulerian coordinates. Further, we present the Initial Point Set method for capturing the moving interface. For the discretization of this interface problem, we introduce a modified finite element scheme th...

In this paper, the role of molecular diffusion in mobilization of waterflood residual oil is examined. A moving mesh method is applied to solve the moving interface problem of residual oil blobs swelling by Co2 diffusion through a blocking water phase. The results of this modeling are compared with experimental results of a 2D glass micromodel experiment. Although, the solution method is applie...

In this paper we study an Eulerian formulation for solving partial differential equations (PDE) on a moving interface. A level set function is used to represent and capture the moving interface. A dual function orthogonal to the level set function defined in a neighborhood of the interface is used to represent some associated quantity on the interface and evolves according to a PDE on the movin...

In this work, Boltzmann transform has been used to analyze the problem of freezing of pure Aluminum in semi-infinite domain. The uniqueness of solution (solidification front location) has been proved using the characteristics of the functions appeared in solution. The effect of density change on temperature distribution and errors resulting from ignoring this change have been investigated. The ...