Results 31 to 40 of about 634 (135)

Efficient Numerical Framework for Geothermal Energy Production Optimization in Fracture‐Controlled Reservoirs

International Journal for Numerical Methods in Fluids, Volume 98, Issue 6, Page 709-730, June 2026.
We introduce an efficient open‐source numerical framework for the automated search for the placements of injection and production wells in hot fracture‐controlled reservoirs that sustainably optimize geothermal energy production. We model the reservoirs as discrete fracture networks in 3D. The fluid flow and heat transport in the reservoirs are modeled
Ondřej Pártl, Ernesto Meneses Rioseco
wiley   +1 more source

Multi‐Goal‐Oriented Anisotropic Error Control and Mesh Adaptivity for Time‐Dependent Convection‐Dominated Problems

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
ABSTRACT In this work, we present an anisotropic multi‐goal error control based on the dual weighted residual (DWR) method for time‐dependent convection–diffusion–reaction (CDR) equations. Motivated by former work, we combine multiple goals to single error functionals with weights chosen as algorithmic parameters.
Markus Bause, Marius Paul Bruchhäuser, Bernhard Endtmayer, Nils Margenberg, Ioannis Toulopoulos, Thomas Wick   +5 more
wiley   +1 more source

Two‐Phase Flow Simulations for Injection Molding Applications: Comparison between COMSOL Multiphysics and XNS In‐House Solver

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
ABSTRACT Injection molding is a manufacturing process for plastic components where precise geometries and part properties, such as local strength and stiffness, are critical. The mold filling phase, during which the hot molten polymer is rapidly injected into the cooled mold cavity, presents significant simulation challenges due to steep temperature ...
Blanca Ferrer Fabón, Jonathan Alms, Marek Behr, Christian Hopmann   +3 more
wiley   +1 more source

Analysis of a Viscoplastic Burgers Equation

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
ABSTRACT We study a Burgers equation featuring an additional stress term that is governed by a positively 1$\hskip.001pt 1$‐homogeneous potential. This problem is motivated by the so‐called Hibler's sea ice model, which treats sea ice as a non‐Newtonian fluid, where the stress tensor includes such a term in order to account for the plastic response of ...
Marita Thomas, Xin Liu, Edriss Titi
wiley   +1 more source

Discontinuous Galerkin Trefftz Methods for Model Reduction of Wave Phenomena

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
ABSTRACT The space–time discontinuous Galerkin (dG)‐Trefftz is known to be a highly efficient numerical scheme for solving linear hyperbolic problems. We investigate to what extent such a dG‐Trefftz method can be used as a basis for a model reduction method for a traveling wave problem using the wave speed as a parameter.
Tobias Born, Karsten Urban
wiley   +1 more source

Advancing Heliophysics and Space Weather Modeling Through Open Science

Space Weather, Volume 24, Issue 6, June 2026.
Abstract We present a community‐wide effort to develop a strategy and action plan to advance heliophysics and space weather modeling through open science. While open science has the potential to enhance the quality and pace of scientific discovery, its application to scientific modeling requires more careful consideration regarding open data and open ...
C. Corti, M. M. Kuznetsova, M. A. Reiss, J. Yue, J. Karpen, C. N. Arge, F. Bacchini, C. Bard, S. Bruinsma, R. M. Caplan, L. K. S. Daldorff, P. J. Deka, C. R. DeVore, S. Elvidge, N. Ganushkina, J. D. Huba, B. V. Jackson, V. Jordanova, J. A. Linker, H. Liu, J. G. Luhmann, S. Markidis, P. Mayank, V. Merkin, N. Moens, D. Odstrcil, Y. A. Omelchenko, M. Palmroth, S. Poedts, A. J. Ridley, Y. Shou, V. Tenishev, D. R. Themens, G. Toth, W. Wang, R.‐P. Wilhelm, M. A. Young, B. Cecconi, M.‐Y. Chou, D. De Zeeuw, G. L. Delzanno, C. Didigu, M. El Alaoui, S. Fung, J. Green, Z. Huang, L. K. Jian, L. J. Landwer, M. Lesko, P. MacNeice, A. Masson, M. L. Mays, P. M. Mehta, M. S. Miesch, E. Palmerio, M. Petrenko, E. Provornikova, L. Rastätter, L. Rusaitis, N. Sachdeva, E. Samara, D. Sur, A. Taktakishvili, J. Topper, T. Tsui, C. Verbeke, J. Wang, C. Wiegand, M. Wiltberger, Y. Zheng, M. M. Bisi, M. K. Georgoulis, T. Kodikara, T. Pulkkinen, A. Chartier, D. da Silva, A. Faturahman, K. Garcia‐Sage, D. Kondrashov, V. E. Ledvina, W. Liu, C. Pandey, E. Resnick, C. Shi, R. S. Weigel, K. Whitman, I. Zakharenkova, K. Zhang   +87 more
wiley   +1 more source

Half-closed discontinuous Galerkin discretisations

Journal of Computational Physics
We introduce the concept of half-closed nodes for nodal discontinuous Galerkin (DG) discretisations. Unlike more commonly used closed nodes in DG, where on every element nodes are placed on all of its boundaries, half-closed nodes only require nodes to be placed on a subset of the element's boundaries. The effect of using different nodes on DG operator
Yulong Pan, Per-Olof Persson
openaire   +2 more sources

Structural Stability of Discontinuous Galerkin Schemes [PDF]

Acta Applicandae Mathematicae, 2010
The goal of this work is to determine classes of traveling solitary wave solutions for a differential approximation of a discontinuous Galerkin finite difference scheme by means of an hyperbolic ansatz. It is shown that spurious solitary waves can occur in finite-difference solutions of nonlinear wave equation. The occurence of such a spurious solitary
David, Claire, Sagaut, Pierre
openaire   +2 more sources

Machining Simulation of Recrystallized SiC: Failure Mechanisms, Numerical Influences, Tool Dynamics, and Friction Behavior

Journal of the American Ceramic Society, Volume 109, Issue 6, June 2026.
ABSTRACT This paper presents a comprehensive study on the machining simulation of recrystallized silicon carbide (R‐SiC), with a focus on material failure mechanisms, numerical influences, tool kinematics, and frictional behavior. A representative volume of interest was derived from CT data, and a meshing algorithm for CT‐based structures was ...
Simon Unseld, Stefan Kleiner, Achim Rösiger, Ralf Goller, Dietmar Koch   +4 more
wiley   +1 more source

A Stable and Accurate X‐FFT Solver for Linear Elastic Homogenization Problems in 3D

International Journal for Numerical Methods in Engineering, Volume 127, Issue 10, 30 May 2026.
ABSTRACT Although FFT‐based methods are renowned for their numerical efficiency and stability, traditional discretizations fail to capture material interfaces that are not aligned with the grid, resulting in suboptimal accuracy. To address this issue, the work at hand introduces a novel FFT‐based solver that achieves interface‐conforming accuracy for ...
Flavia Gehrig, Matti Schneider
wiley   +1 more source