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Anthropogenic climate change has increased the probability, severity, and duration of heat waves and droughts, subsequently escalating the risk of wildfires. Mathematical and computational models can enhance our understanding of wildfire…

Fluid Dynamics · Physics 2025-03-13 Adrián Navas-Montilla , Cordula Reisch , Pablo Diaz , Ilhan Özgen-Xian

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

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

Adaptive mesh refinement (AMR) is often used when solving time-dependent partial differential equations using numerical methods. It enables time-varying regions of much higher resolution, which can be used to track discontinuities in the…

Numerical Analysis · Mathematics 2018-10-03 Brisa N Davis , Randall J LeVeque

In practical applications, it is common that wildfire simulators do not correctly predict the evolution of the fire scar. Usually, this is caused due to multiple factors including inaccuracy in the input data such as land cover…

Machine Learning · Computer Science 2019-09-16 Jaime Carrasco , Cristobal Pais , Zuo-Jun Max Shen , Andres Weintraub

I survey the use and impact of adaptive mesh refinement (AMR) simulations in numerical astrophysics and cosmology. Two basic techniques are in use to extend the dynamic range of Eulerian grid simulations in multi-dimensions: cell…

Astrophysics · Physics 2007-05-23 Michael L. Norman

This paper presents novel refinement sensors for the application to adaptive mesh and algorithm refinement (AMAR) with kinetic models, such as discrete velocity and lattice Boltzmann methods. While refinement criteria for AMAR based on…

Fluid Dynamics · Physics 2026-03-17 R. M. Strässle , S. A. Hosseini , I. V. Karlin

Adaptive mesh refinement (AMR) is necessary for efficient finite element simulations of complex physical phenomenon, as it allocates limited computational budget based on the need for higher or lower resolution, which varies over space and…

Numerical simulations of two-phase flow and fluid structure interaction problems are of great interest in many environmental problems and engineering applications. To capture the complex physical processes involved in these problems, a high…

Fluid Dynamics · Physics 2023-06-02 Yadong Zeng

A wildland fire model based on semi-empirical relations for the spread rate of a surface fire and post-frontal heat release is coupled with the Weather Research and Forecasting atmospheric model (WRF). The propagation of the fire front is…

Atmospheric and Oceanic Physics · Physics 2015-08-03 Jan Mandel , Jonathan D. Beezley , Soham Chakraborty , Janice L. Coen , Craig C. Douglas , Anthony Vodacek , Zhen Wang

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

The time dependent non-equilibrium radiation diffusion equations are important for solving the transport of energy through radiation in optically thick regimes and find applications in several fields including astrophysics and inertial…

Numerical Analysis · Mathematics 2014-03-05 Bobby Philip , Zhen Wang , Mark Berrill , Manuel Rodriguez Rodriguez , Michael Pernice

Adaptive mesh refinement (AMR) is a classical technique about local refinement in space where needed, thus effectively reducing computational costs for HPC-based physics simulations. Although AMR has been used for many years, little…

Fluid Dynamics · Physics 2024-05-14 Dewen Liu , Shuai He , Haoran Cheng , Yadong Zeng

Wildfire propagation is a highly stochastic process where small changes in environmental conditions (such as wind speed and direction) can lead to large changes in observed behaviour. A traditional approach to quantify uncertainty in…

Machine Learning · Computer Science 2023-09-04 Andrew Bolt , Conrad Sanderson , Joel Janek Dabrowski , Carolyn Huston , Petra Kuhnert

The increasing frequency and intensity of wildfires underscore the need for accurate predictive models to enhance wildfire management. Traditional models, such as Rothermel and FARSITE, provide foundational insights but often oversimplify…

Systems and Control · Electrical Eng. & Systems 2024-12-30 Hengameh R. Dehkordi

The rapidly changing landscapes of modern optimization problems require algorithms that can be adapted in real-time. This paper introduces an Adaptive Metaheuristic Framework (AMF) designed for dynamic environments. It is capable of…

Artificial Intelligence · Computer Science 2024-04-19 Bestoun S. Ahmed

An adaptive mesh refinement (AMR) scheme is implemented in a distributed environment using Message Passing Interface (MPI) to find solutions to the nonlinear sigma model. Previous work studied behavior similar to black hole critical…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Steven L. Liebling

This paper examines the application of adaptive mesh refinement (AMR) in the field of numerical weather prediction (NWP). We implement and assess two distinct AMR approaches and evaluate their performance through standard NWP benchmarks. In…

Numerical Analysis · Mathematics 2024-04-26 Daniel S. Abdi , Ann Almgren , Francis X. Giraldo , Isidora Jankov

Current Adaptive Mesh Refinement (AMR) simulations require algorithms that are highly parallelized and manage memory efficiently. As compute engines grow larger, AMR simulations will require algorithms that achieve new levels of efficient…

Solar and Stellar Astrophysics · Physics 2015-03-19 Jonathan J. Carroll-Nellenback , Brandon Shroyer , Adam Frank , Chen Ding

Climate change has resulted in a year over year increase in adverse weather and weather conditions which contribute to increasingly severe fire seasons. Without effective mitigation, these fires pose a threat to life, property, ecology,…