Abstract In this paper interparticle potential model of the lattice Boltzmann method (LBM) is used to simulate deformation and breakup of a falling droplet under gravity force. First this model is applied to ensure that the surface tension effect is properly implemented in this model. Two tests have been considered. First, it has been checked an initial square drop in a 2D domain can freely def...

The nonlinear partial differential equations of the anisotropic biphasic theory of tissue-equivalent mechanics are solved with axial symmetry by an adaptive finite element system. The adaptive procedure operates within a method-of-lines framework using finite elements in space and backward difference software in time. Spatial meshes are automatically refined, coarsened, and relocated in respons...

We introduce a novel finite-difference (FD) approach for seismic wave extrapolation in time. We derive the coefficients of the finite-difference operator from a lowrank approximation of the space-wavenumber, wave-propagator matrix. Applying the technique of lowrank finite-differences, we also improve the finite difference scheme of the two-way Fourier finite differences (FFD). We call the new o...

The present essay scrutinizes the application of discrete mollification as a filtering procedure to solve a nonlinear backward inverse heat conduction problem in one dimensional space. These problems are seriously ill-posed. So, we combine discrete mollification and space marching method to address the ill-posedness of the proposed problem. Moreover, a proof of stability and<b...

in this paper, financial services in the iranian as a sector with a leontief production function, this sector buys inputs from other sectors for its productions and provides services to expedite the cash fellows and risk transformation to other sectors, the first relations are called backward linkage and the later relations are called forward linkage, for quantification of the linkage , employm...

I n this paper, we propose a safety analysis method using coloured Petri nets (CPN). Our method employs a backward approach where a hazard is assumed to have occurred and backward simulation from the hazard is performed in order to determine i f and how the hazard might occur. Using CPN, we define a hazard as a set of markings and perform backward simulation by generating a reachability graph b...

This paper presents a new approach to inverse consistent image registration. A uni-directional algorithm is developed using symmetric cost functionals and regularizers. Instead of enforcing inverse consistency using an additional penalty that penalizes inconsistency error, the new algorithm directly models the backward mapping by inverting the forward mapping. The resulting minimization problem...

We consider Large Deformation Diffeomorphic Metric Mapping of general m-currents. After stating an optimization algorithm in the function space of admissable morph generating velocity fields, two innovative aspects in this framework are presented and numerically investigated: First, we spatially discretize the velocity field with conforming adaptive finite elements and discuss advantages of thi...

Computing a template in the Large Deformation Diffeomorphic Metric Mapping (LDDMM) framework is a key step for the study of large databases of anatomical surfaces, but can lead to very computationally expensive algorithms in the case of large databases. Here we present an iterative method to compute a better initialization for the template estimation method proposed in [1]. The method provides ...

Since the 1970’s B-splines have evolved to become the de facto standard for use in curve and surface representation. This resulted in a relatively recent proliferation of nonrigid image registration techniques based on B-splines. These techniques fall under the general Free-Form Deformation (FFD) approach in which the object to be registered is embedded within a B-spline object. The deformation...