Chen, Yongsheng Yan, Jue Zhong, Xinghui
Published in
Frontiers in Applied Mathematics and Statistics
In this paper, we develop the cell-average based neural network (CANN) method to solve third order and fifth order Korteweg-de Vries (KdV) type equations. The CANN method is based on the weak or integral formulation of the partial differential equations. A simple feedforward network is forced to learn the cell average difference between two consecu...
Bali, Seevani Tuković, Željko Cardiff, Philip Ivanković, Alojz Pakrashi, Vikram
Published in
International journal for numerical methods in engineering
This article presents a novel total Lagrangian cell-centered finite volume formulation of geometrically exact beams with arbitrary initial curvatures undergoing large displacements and finite rotations. The choice of rotation parameterization, the mathematical formulation of the beam kinematics, conjugate strain measures, and the linearization of t...
yong zhang, guoliang he;
This paper proves the optimal estimations of a low-order spatial-temporal fully discrete method for the non-stationary Navier-Stokes Problem. In this paper, the semi-implicit scheme based on Euler method is adopted for time discretization, while the special finite volume scheme is adopted for space discretization. Specifically, the spatial discreti...
Marmignon, Claude Naddei, Fabio Renac, Florent
This work concerns the numerical approximation with an explicit firstorder finite volume method of inviscid, nonequilibrium, high-temperature flows in multiple space dimensions. It is devoted to the analysis of the numerical scheme for the approximation of the hyperbolic system in homogeneous form. We derive a general framework for the design of nu...
Brenner, Konstantin Chorfi, Nejmeddine Masson, Roland
This work is concerned with the numerical modeling of the Darcy flow and solute transport in fractured porous media for which the fractures are modeled as interfaces of codimension one. The hybrid-dimensional flow and transport problems are discretizaed by a lumped piecewise linear finite element method, combined with the algebraic correction of th...
Kocijančič, Martin
Vodilnik je sestavni del kompresorjev in njegova naloga je pretvorba kinetične energije medija v tlačno. V tem delu smo na osnovi numeričnih simulacij toka zraka optimizirali geometrijo vodilnika, ki je del centrifugalnega puhala. Izdelan je bil parametričen geometrijski model in splošna numerična mreža, ki je primerna za parametrično študijo najra...
Šarler, Božidar Zahoor, Rizwan Bajt, Saša
Liquid micro-jets are crucial for sample delivery of protein crystals and other macromolecular samples in serial femtosecond crystallography. When combined with MHz repetition rate sources, such as the European X-ray free-electron laser (EuXFEL) facility, it is important that the diffraction patterns are collected before the samples are damaged. Th...
Nkonga, Boniface Chandrashekar, Praveen
The shear shallow water model is a higher order model for shallow flows which includes some shear effects that are neglected in the classical shallow models. The model is a non-conservative hyperbolic system which can admit shocks, rarefactions, shear and contact waves. The notion of weak solution is based on a path but the choice of the correct pa...
fernandes;, célio
Polymer extrudate swelling is a rheological phenomenon that occurs after polymer melt flow emerges at the die exit of extrusion equipment due to molecular stress relaxations and flow redistributions. Specifically, with the growing demand for large scale and high productivity, polymer pipes have recently been produced by extrusion. This study report...
Fayssal, Iyad Moukalled, Fadl
Published in
Computer methods in biomechanics and biomedical engineering
The fractional flow reserve (FFR) index is an important clinical indicator for characterizing coronary artery disease (CAD) functional significance, allowing cardiologists to decide whether intervention is required or not. Noninvasive techniques for calculating FFR are still incompletely resolved and rely heavily on time consuming numerical methods...
