in this research, numerical simulation of a symmetric impact of a 2-d wedge, considering dynamic equations in two-phase flow is taken into account. the two-phase flow around the wedge is solved based on finite volume method and volume of fluid (vof) scheme. the dynamic mesh model is used to simulate dynamic motion of the wedge, thereby the effects of different dynamic meshes in both structured ...

The closure problem of the stellar hydrodynamic equations is studied in a general case by describing the family of phase space density functions for which the collisionless Boltzmann equation is strictly equivalent to a finite subset of moment equations. The method is based on the use of maximum entropy distributions, which are afterwards generalised to phase space density functions depending o...

Models of stochastic image deformation allow study time-continuous effects transforming images by deforming the domain. Applications include longitudinal medical analysis with both population trends and random subject-specific variation. Focusing on a extension LDDMM models evolutions governed EPDiff equation, we use moment approximations corresponding Itô diffusion to construct estimators for ...

We consider the moment-closure approach to transport equations which arise in Mathematical Biology. We show that the negative L2-norm is an entropy in the sense of thermodynamics, and it satisfies an H-theorem. With an L2-norm minimization procedure we formally close the moment hierarchy for the first two moments. The closure leads to semilinear Cattaneo systems, which are closely related to da...

We consider the approach to self-similarity (or dynamical scaling) in Smoluchowski’s coagulation equations for the solvable kernels K(x, y) = 2, x+ y and xy. We prove the uniform convergence of densities to the self-similar solution with exponential tails under the regularity hypothesis that a suitable moment have an integrable Fourier transform. For the discrete equations we prove uniform conv...

Absorption and fluorescence spectra of quinine sulphate (QSD) have been recorded at room temperature in wide range of solvents of different polarities. The ground-state dipole moment of QSD was obtained from quantum mechanical calculations and the excited state dipole moment of QSD was estimated from Bakhshiev’s and Kawski-Chamma-Viallet’s equations by means of solvatochromic shift method. High...

In this study, a limit equilibrium method has been developed that satisfies all conditions of equilibrium and assumes circular slip surfaces. All force and moment equilibrium equations are employed without using simplification assumptions. A non-linear optimization technique is used to solve the system of equations with the corresponding constraints. The proposed method is capable to determine ...

Geological formations are ubiquitously heterogeneous, and the equations that govern flow and transport in such formations can be treated as stochastic partial differential equations. The Monte Carlo method is a straightforward approach for simulating flow in heterogeneous porous media; an alternative based on the moment-equation approach has been developed in the last two decades to reduce the ...

This work applies the moment method onto a generic form of kinetic equations, given by the Boltzmann equation, to simplify kinetic models of particle systems. This leads to the moment closure problem which is addressed using entropy-based moment closure techniques utilizing entropy minimization. The resulting moment closure system forms a system of partial differential equations that retain str...