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As a first step towards the numerical analysis of the stochastic primitive equations of the atmosphere and oceans, we study their time discretization by an implicit Euler scheme. From deterministic viewpoint the 3D Primitive Equations are…

Analysis of PDEs · Mathematics 2014-04-14 Nathan Glatt-Holtz , Roger Temam , Chuntian Wang

In this paper we propose an efficient second order well balanced finite volume method for modeling complex free surface flows at the aid of a simple diffuse interface method. The employed physical model is a two-phase model derived from the…

Numerical Analysis · Mathematics 2018-08-16 Elena Gaburro , Manuel J. Castro , Michael Dumbser

Physics-based atmosphere-land models with prescribed sea surface temperature have notable successes but also biases in their ability to represent atmospheric variability compared to observations. Recently, AI emulators and hybrid models…

Atmospheric and Oceanic Physics · Physics 2026-04-22 Ian Baxter , Hamid Pahlavan , Pedram Hassanzadeh , Katharine Rucker , Tiffany Shaw

Numerical simulations of compressible real-fluid flows are notoriously plagued by spurious pressure oscillations arising in regions of abrupt flow variations. As a possible remedy, several numerical formulations enforce the pressure…

Fluid Dynamics · Physics 2026-05-27 Gennaro Coppola , Alessandro Aiello , Carlo De Michele

In the present study, a discrete forcing Immersed Boundary Method (IBM) is proposed for the numerical simulation of high-speed flow problems including heat exchange. The flow field is governed by the compressible Navier-Stokes equations,…

Fluid Dynamics · Physics 2023-01-24 Hamza Riahi , Eric Goncalves , Marcello Meldi

A new approach to modelling free surface flows is developed that enables, for the first time, 3D consistent non-hydrostatic baroclinic physics that wets and dries in the large aspect ratio spatial domains that characterise geophysical…

Fluid Dynamics · Physics 2017-03-28 Adam S. Candy

To reduce computation times of simulations involving gas fueled internal combustion engines (ICEs), a model is developed that determines non-ideal nozzle exit conditions to spare expensive simulations of internal injector flows. The model,…

Fluid Dynamics · Physics 2025-09-23 N. Diepstraten , L. M. T. Somers , J. A. van Oijen

Upcoming large-scale-structure surveys can shed new light on the properties of dark energy. In particular, if dark energy is a dynamical component, it must have spatial perturbations. Their behaviour is regulated by the speed of sound…

Cosmology and Nongalactic Astrophysics · Physics 2023-05-10 Linda Blot , Pier Stefano Corasaniti , Fabian Schmidt

An open-source library called EOF which provides efficient two-way coupling between the finite element multi-physics simulation software Elmer and computational fluid dynamics software OpenFOAM is presented. Library controls interpolation…

Computational Physics · Physics 2017-07-14 Juris Vencels , Andris Jakovics , Vadims Geza , Mihails Scepanskis

In this work, we take a modern high-resolution finite-volume scheme for solving the rotational shallow-water equations and extend it with features required to run real-world ocean simulations. Our contributions include a spatially varying…

Computational Physics · Physics 2019-12-06 André R. Brodtkorb , Håvard Heitlo Holm

We propose a variational framework for the resolution of a non-hydrostatic Saint-Venant type model with bottom topography. This model is a shallow water type approximation of the incompressible Euler system with free surface and slightly…

Numerical Analysis · Mathematics 2015-07-01 N. Aissiouene , M. -O. Bristeau , E. Godlewski , J. Sainte-Marie

In this paper, the second in a series, we document the algorithms and solvers for compressible nonrelativistic hydrodynamics implemented in GenASiS (General Astrophysical Simulation System)---a new code being developed initially and…

Instrumentation and Methods for Astrophysics · Physics 2015-07-09 Christian Y. Cardall , Reuben D. Budiardja , Eirik Endeve , Anthony Mezzacappa

We present a generalized form of open boundary conditions, and an associated numerical algorithm, for simulating incompressible flows involving open or outflow boundaries. The generalized form represents a family of open boundary…

Fluid Dynamics · Physics 2015-04-16 Suchuan Dong , Jie Shen

Climate modeling is reaching unprecedented resolution, producing petabytes of data. AI climate model emulators offer a path to computationally cheap analysis, enabling new scientific insight and scenario planning. Recent advances show…

We consider the relativistic Euler equations governing spherically symmetric, perfect fluid flows on the outer domain of communication of Schwarzschild spacetime, and we introduce a version of the finite volume method which is formulated…

General Relativity and Quantum Cosmology · Physics 2013-01-01 Philippe G. LeFloch , Hasan Makhlof

We present an open-source Thermochemical Equilibrium Abundances (TEA) code that calculates the abundances of gaseous molecular species. The code is based on the methodology of White et al. (1958) and Eriksson (1971). It applies Gibbs…

Instrumentation and Methods for Astrophysics · Physics 2016-07-20 Jasmina Blecic , Joseph Harrington , M. Oliver Bowman

We present a new 1-D multi-physics simulation code with use cases intended for, but not limited to, hydrodynamic escapeproblems of planetary atmospheres and planetary accretion models. Our formulation treats an arbitrary number of species…

Earth and Planetary Astrophysics · Physics 2023-05-10 Matthäus Schulik , Richard Booth

We have designed and developed, from scratch, a global circulation model named THOR that solves the three-dimensional non-hydrostatic Euler equations. Our general approach lifts the commonly used assumptions of a shallow atmosphere and…

Earth and Planetary Astrophysics · Physics 2016-10-05 João M. Mendonça , Simon L. Grimm , Luc Grosheintz , Kevin Heng

This paper presents a novel finite volume mooring line model based on the geometrically exact Simo-Reissner beam model for analysing the interaction between a floating rigid body and its mooring lines. The coupled numerical model is…

Numerical Analysis · Mathematics 2026-01-21 Amirhossein Taran , Seevani Bali , Zeljko Tukovic , Vikram Pakrashi , Philip Cardiff

Two new control volume solvers multiFluidInterFoam and rheoMultiFluidInterFoam are presented for the simulation of Newtonian and non-Newtonian n-phase flows, respectively, fully accounting for interfacial tension and contact-angle effects…

Fluid Dynamics · Physics 2022-03-21 Chris Dritselis , George Karapetsas