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In this paper, we present NEMO, a system that translates Natural-language descriptions of decision problems into formal Executable Mathematical Optimization implementations, operating collaboratively with users or autonomously. Existing…

Artificial Intelligence · Computer Science 2026-01-30 Yang Song , Anoushka Vyas , Zirui Wei , Sina Khoshfetrat Pakazad , Henrik Ohlsson , Graham Neubig

High-order solvers for compressible flows are vital in scientific applications. Adaptive mesh refinement (AMR) is a key technique for reducing computational cost by concentrating resolution in regions of interest. In this work, we develop…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-08-08 Anjiang Wei , Hang Song , Mert Hidayetoglu , Elliott Slaughter , Sanjiva K. Lele , Alex Aiken

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

High-speed chemically active flows present significant computational challenges due to their disparate space and time scales, where stiff chemistry often dominates simulation time. While modern supercomputing scientific codes achieve…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-04 Anthony Carreon , Jagmohan Singh , Shivank Sharma , Shuzhi Zhang , Venkat Raman

Computationally solving the equations of elasticity is a key component in many materials science and mechanics simulations. Phenomena such as deformation-induced microstructure evolution, microfracture, and microvoid nucleation are examples…

Computational Engineering, Finance, and Science · Computer Science 2021-12-08 Brandon Runnels , Vinamra Agrawal , Weiqun Zhang , Ann Almgren

We describe the AMReX-Astrophysics framework for exploring the sensitivity of astrophysical simulations to the details of a nuclear reaction network, including the number of nuclei, choice of reaction rates, and approximations used. This is…

Instrumentation and Methods for Astrophysics · Physics 2023-12-06 Zhi Chen , Eric T. Johnson , Max Katz , Alexander Smith Clark , Brendan Boyd , Michael Zingale

Adaptive mesh refinement (AMR) offers a practical solution to reduce the computational cost and memory requirement of numerical simulations that use computational meshes. In this work, we introduce a novel smart methodology for adaptive…

Fluid Dynamics · Physics 2021-08-23 Akash A. Patel , Masoud Safdari

The urgency of the energy transition requires improving the performance and longevity of hydrogen technologies. AlphaPEM is a dynamic one-dimensional (1D) physics-based PEM fuel cell system simulator, programmed in Python and experimentally…

Systems and Control · Electrical Eng. & Systems 2026-01-28 Raphaël Gass , Zhongliang Li , Rachid Outbib , Samir Jemeï , Daniel Hissel

A computational technique has been developed to perform compressible flow simulations involving moving boundaries using an embedded boundary approach within the block-structured adaptive mesh refinement framework of AMReX. A conservative,…

Fluid Dynamics · Physics 2022-07-13 Mahesh Natarajan , Ray Grout , Weiqun Zhang , Marc Day

We introduce DynAMO, a reinforcement learning paradigm for Dynamic Anticipatory Mesh Optimization. Adaptive mesh refinement is an effective tool for optimizing computational cost and solution accuracy in numerical methods for partial…

Numerical Analysis · Mathematics 2024-03-12 Tarik Dzanic , Ketan Mittal , Dohyun Kim , Jiachen Yang , Socratis Petrides , Brendan Keith , Robert Anderson

We have developed a simulation code with the techniques which enhance both spatial and time resolution of the PM method for which the spatial resolution is restricted by the spacing of structured mesh. The adaptive mesh refinement (AMR)…

Astrophysics · Physics 2009-11-06 Hideki Yahagi , Yuzuru Yoshii

In this paper we introduce Enzo, a 3D MPI-parallel Eulerian block-structured adaptive mesh refinement cosmology code. Enzo is designed to simulate cosmological structure formation, but can also be used to simulate a wide range of…

This study aims to develop a simulation framework for rotating detonation engines (RDEs) using multicomponentFluid solver in OpenFOAM v12 and to demonstrate reducing the computational costs by adaptive mesh refinement (AMR) and dynamic load…

Computational Physics · Physics 2025-08-25 Keunjae Kwak , Hyoungwoo Kim , Je Ir Ryu , Donh-Hyuk Shin

We compare the results of two--dimensional simulations to experimental data obtained at Los Alamos National Laboratory in order to validate the FLASH code. FLASH is a multi--physics, block--structured adaptive mesh refinement code for…

Astrophysics · Physics 2007-05-23 Vikram Dwarkadas , Tomek Plewa , Greg Weirs , Chris Tomkins , Mark Marr-Lyon

This article presents a hardware architecture independent implementation of an adaptive mesh refinement Poisson solver that is integrated into the electrostatic Particle-In-Cell beam dynamics code OPAL. The Poisson solver is solely based on…

Computational Physics · Physics 2020-09-03 Matthias Frey , Andreas Adelmann , Uldis Locans

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

Finite element (FE) analysis guides the design and verification of nearly all manufactured objects. It is at the core of computational engineering, enabling simulation of complex physical systems, from fluids and solids to multiphysics…

Computational Engineering, Finance, and Science · Computer Science 2026-04-15 Rushikesh Deotale , Adithya Srinivasan , Yuan Tian , Tianyi Zhang , Pavlos Vlachos , Hector Gomez

This work presents a comprehensive framework for the efficient implementation of finite-volume-based reacting flow solvers, specifically tailored for high speed propulsion applications. Using the exascale computing project (ECP) based AMReX…

We have developed a new computer code, RAM, to solve the conservative equations of special relativistic hydrodynamics (SRHD) using adaptive mesh refinement (AMR) on parallel computers. We have implemented a characteristic-wise, finite…

Astrophysics · Physics 2009-11-11 Weiqun Zhang , Andrew I. MacFadyen

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