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Colliding flows are a commonly used scenario for the formation of molecular clouds in numerical simulations. Due to the thermal instability of the warm neutral medium, turbulence is produced by cooling. We carry out a two-dimensional…

Instrumentation and Methods for Astrophysics · Physics 2015-05-13 Markus Niklaus , Wolfram Schmidt , Jens C. Niemeyer

Adaptive mesh refinement (AMR) is indispensable for efficient finite element analyses. However, its performance depends not only on the refinement itself but also on strategy to mark elements for refinement and the way it is tuned. This…

Computational Engineering, Finance, and Science · Computer Science 2026-05-08 Oliver Wege , Kaan Atak , Marek Behr , Norbert Hosters

This work presents a high-order finite-difference adaptive mesh refinement (AMR) framework for robust simulation of shock-turbulence interaction problems. A staggered-grid arrangement, in which solution points are stored at cell centers…

Computational Physics · Physics 2025-11-12 Yuqi Wang , Yadong Zeng , Ralf Deiterding , Jinhui Yang , Jianhan Liang

Cartesian-grid methods with Adaptive Mesh Refinement (AMR) are ideally suited for simulating the breaking of waves, the formation of spray, and the entrainment of air around ships. As a result of the cartesian-grid formulation, minimal…

Performing a stable, long duration simulation of driven MHD turbulence with a high thermal Mach number and a strong initial magnetic field is a challenge to high-order Godunov ideal MHD schemes because of the difficulty in guaranteeing…

Instrumentation and Methods for Astrophysics · Physics 2015-06-03 Pak Shing Li , Daniel F. Martin , Richard I. Klein , Christopher F. McKee

Simulating physical systems is essential in engineering, but analytical solutions are limited to straightforward problems. Consequently, numerical methods like the Finite Element Method (FEM) are widely used. However, the FEM becomes…

Machine Learning · Computer Science 2026-01-30 Niklas Freymuth , Philipp Dahlinger , Tobias Würth , Simon Reisch , Luise Kärger , Gerhard Neumann

In an effort to study the applicability of adaptive mesh refinement (AMR) techniques to atmospheric models an interpolation-based spectral element shallow water model on a cubed-sphere grid is compared to a block-structured finite volume…

Computational Physics · Physics 2009-11-13 Amik St-Cyr , Christiane Jablonowski , John M. Dennis , Henry M. Tufo , Stephen J. Thomas

Finite element discretizations of problems in computational physics often rely on adaptive mesh refinement (AMR) to preferentially resolve regions containing important features during simulation. However, these spatial refinement strategies…

Computational Engineering, Finance, and Science · Computer Science 2022-09-27 Corbin Foucart , Aaron Charous , Pierre F. J. Lermusiaux

Adaptive Mesh Refinement (AMR) enhances the Finite Element Method, an important technique for simulating complex problems in engineering, by dynamically refining mesh regions, enabling a favorable trade-off between computational speed and…

Multiagent Systems · Computer Science 2023-10-11 Niklas Freymuth , Philipp Dahlinger , Tobias Würth , Simon Reisch , Luise Kärger , Gerhard Neumann

An automatic mesh generation method for optimal computational fluid dynamics (CFD) analysis of a blade passage is developed using deep reinforcement learning (DRL). Unlike conventional automation techniques, which require repetitive tuning…

Fluid Dynamics · Physics 2025-08-22 Innyoung Kim , Jonghyun Chae , Donghyun You

Automatic modulation recognition (AMR) is a promising technology for intelligent communication receivers to detect signal modulation schemes. Recently, the emerging deep learning (DL) research has facilitated high-performance DL-AMR…

Signal Processing · Electrical Eng. & Systems 2021-10-12 Fuxin Zhang , Chunbo Luo , Jialang Xu , Yang Luo

Large-scale finite element simulations of complex physical systems governed by partial differential equations (PDE) crucially depend on adaptive mesh refinement (AMR) to allocate computational budget to regions where higher resolution is…

Adaptive mesh refinement (AMR) in the high-order spectral-element method code Nek5000 is demonstrated and validated with well-resolved large-eddy simulations (LES) of the flow past a wing profile. In the present work, the flow around a NACA…

Fluid Dynamics · Physics 2021-08-30 F. Mallor , Á. Tanarro , N. Offermans , A. Peplinski , R. Vinuesa , P. Schlatter

We present an improved method for topology optimization with both adaptive mesh refinement and derefinement. Since the total volume fraction in topology optimization is usually modest, after a few initial iterations the domain of…

Numerical Analysis · Mathematics 2010-09-28 Shun Wang , Eric de Sturler , Glaucio H. Paulino

This paper presents an arbitrary h.o. accurate ADER DG method on space-time adaptive meshes (AMR) for the solution of two important families of non-linear time dependent PDE for compr. dissipative flows: the compr. Navier-Stokes equations…

Numerical Analysis · Mathematics 2021-07-22 Francesco Fambri , Michael Dumbser , Olindo Zanotti

We present a new numerical algorithm for the solution of coupled collisional and collisionless systems, based on the block structured adaptive mesh and time refinement strategy (AMR). We describe the issues associated with the…

Astrophysics · Physics 2008-11-26 Francesco Miniati , Phillip Colella

Unsteady cloud cavitating flow is detrimental to the efficiency of hydraulic machinery like pumps and propellers due to the resulting side-effects of vibration, noise and erosion damage. Modelling such a unsteady and highly turbulent flow…

Fluid Dynamics · Physics 2024-09-05 Dhruv Apte , Mingming Ge , Olivier Coutier-Delgosha

We describe a powerful methodology for numerical solution of 3-D self-gravitational hydrodynamics problems with extremely high resolution. Our method utilizes the technique of local adaptive mesh refinement (AMR), employing multiple grids…

Astrophysics · Physics 2016-01-27 Richard I. Klein , Robert T. Fisher , Christopher F. McKee , J. Kelly Truelove

A stable added-mass partitioned (AMP) algorithm is developed for fluid-structure interaction (FSI) problems involving viscous incompressible flow and compressible elastic solids. Deforming composite grids are used to effectively handle the…

Numerical Analysis · Mathematics 2019-10-23 Daniel A. Serino , Jeffrey W. Banks , William D. Henshaw , Donald W. Schwendeman

The use of adaptive mesh refinement (AMR) techniques is crucial for accurate and efficient simulation of higher dimensional spacetimes. In this work we develop an adaptive algorithm tailored to the integration of finite difference…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Frans Pretorius , Luis Lehner