Results 11 to 20 of about 394,180 (145)

A multiscale Eulerian–Lagrangian cavitating flow solver in OpenFOAM

SoftwareX, 2023
Simulation of cavitation considering bubble dynamics is challenging due to the wide range of length and time scales. As the volume of fluid (VOF) method is suited for resolving the cavity and the discrete bubble model (DBM) in the Lagrangian frame is ...
Linmin Li, Weisen Xu, Bowen Jiang, Xiaojun Li, Zuchao Zhu   +4 more
doaj   +1 more source

A Universal Predictor‐Corrector Approach for Minimizing Artifacts Due To Mesh Refinement

Journal of Advances in Modeling Earth Systems, 2023
With nested grids or related approaches, it is known that numerical artifacts can be generated at the interface of mesh refinement. Most of the existing methods of minimizing these artifacts are either problem‐dependent or numerical methods‐dependent. In
Shukai Du, Samuel N. Stechmann
doaj   +1 more source

Generalized Boltzmann equations for on-shell particle production in a hot plasma [PDF]

, 2002
A novel refinement of the conventional treatment of Kadanoff--Baym equations is suggested. Besides the Boltzmann equation another differential equation is used for calculating the evolution of the non-equilibrium two-point function.
A. Jakovác, A. Jakovác, A. Jakovác, D. Boyanovsky, D. Boyanovsky, D. Boyanovsky, E. Braaten, E. Wang, F. Karsch, J. Kapusta, K.-C. Chou, L. D. McLerran, N. P. Landsmann, P. Arnold, P. Arnold, P. Arnold, P. Aurenche, P. Aurenche, T. Altherr, T. Altherr   +19 more
core   +2 more sources

Adaptive solution of the domain decomposition+L2-jumps method applied to the neutron diffusion equation on structured meshes [PDF]

EPJ Web of Conferences
At the core scale, neutron deterministic calculations are usually based on the neutron diffusion equation. Classically, this equation can be recast in a mixed variational form, and then discretized by using the Raviart-Thomas-Nédélec Finite Element.
Gervais Mario, Madiot François, Do Minh-Hieu, Ciarlet Patrick   +3 more
doaj   +1 more source

Adaptive FEM with coarse initial mesh guarantees optimal convergence rates for compactly perturbed elliptic problems [PDF]

, 2016
We prove that for compactly perturbed elliptic problems, where the corresponding bilinear form satisfies a Garding inequality, adaptive mesh-refinement is capable of overcoming the preasymptotic behavior and eventually leads to convergence with optimal ...
Bespalov, Alex, Haberl, Alexander, Praetorius, Dirk   +2 more
core   +3 more sources

Convergency and Stability of Explicit and Implicit Schemes in the Simulation of the Heat Equation

Applied Sciences, 2021
Some strategies for solving differential equations based on the finite difference method are presented: forward time centered space (FTSC), backward time centered space (BTSC), and the Crank-Nicolson scheme (CN).
Franyelit Suárez-Carreño, Luis Rosales-Romero   +1 more
doaj   +1 more source

Adaptive mesh refinements for analyses of 2D linear elasticity problems using the Kriging-based finite element method [PDF]

E3S Web of Conferences, 2023
Finite element analyses of irregular structures require adaptive mesh refinement to achieve more accurate results in an efficient manner. This is also true for a non-conventional finite element method with Kriging interpolation, called the Kriging-based ...
Handoko Johanna, Wong Foek Tjong
doaj   +1 more source

Global storm tide modeling with ADCIRC v55: unstructured mesh design and performance [PDF]

Geoscientific Model Development, 2021
This paper details and tests numerical improvements to the ADvanced CIRCulation (ADCIRC) model, a widely used finite-element method shallow-water equation solver, to more accurately and efficiently model global storm tides with seamless local mesh ...
W. J. Pringle, D. Wirasaet, K. J. Roberts, J. J. Westerink   +3 more
doaj   +1 more source

An adaptive grid refinement strategy for the simulation of negative streamers [PDF]

, 2005
The evolution of negative streamers during electric breakdown of a non-attaching gas can be described by a two-fluid model for electrons and positive ions.
Abou-Ghazala, Arrayás, Arrayás, Barnes, Bazelyan, Blom, Bobrov, Botta, C. Montijn, Clements, Colella, Colella, Dhali, Dutton, Ebert, Ebert, Ebert, Ebert, Franz, Gerken, Golub, Gottlieb, Hundsdorfer, Kulikovsky, Kulikovsky, Lang, Li, Liu, Liu, Meulenbroek, Meulenbroek, Montijn, Nair, Pancheshnyi, Pancheshnyi, Pasko, Qui, Raizer, Rocco, Sato, Schumann, Sentman, Trompert, U. Ebert, van Veldhuizen, van Veldhuizen, Vitello, W. Hundsdorfer, Wackers, Wesseling   +49 more
core   +3 more sources

Refinement equations for generalized translations

International Journal of Mathematics and Mathematical Sciences, 2004
We study refinement equations which relate the dilation of a function with generalized translates of the function, consisting of convolutions against certain kernels including Cauchy and Gaussian densities; solutions are expressed in terms of solutions ...
W. Christopher Lang
doaj   +1 more source