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Reduced-order models (ROMs) are computationally inexpensive simplifications of high-fidelity complex ones. Such models can be found in computational fluid dynamics where they can be used to predict the characteristics of multiphase flows.…

计算物理 · 物理学 2021-11-17 Themistoklis Botsas , Indranil Pan , Lachlan R. Mason , Omar K. Matar

This paper presents a new solver developed in OpenFOAM for the modeling of lubricant in the narrow gap between two surfaces inducing hydrodynamic pressures up to few gigapascal. Cavitation is modeled using the homogeneous equilibrium model.…

计算工程、金融与科学 · 计算机科学 2024-12-18 Nicolas Delaissé , Peyman Havaej , Dieter Fauconnier , Joris Degroote

The use of reduced and mixed precision computing has gained increasing attention in high-performance computing (HPC) as a means to improve computational efficiency, particularly on modern hardware architectures like GPUs. In this work, we…

计算工程、金融与科学 · 计算机科学 2025-05-28 Bálint Siklósi , Pushpender K. Sharma , David J. Lusher , István Z. Reguly , Neil D. Sandham

We present high-order variational Lagrangian finite element methods for compressible fluids using a discrete energetic variational approach. Our spatial discretization is mass/momentum/energy conserving and entropy stable. Fully implicit…

数值分析 · 数学 2023-08-16 Guosheng Fu , Chun Liu

A new parallelized unsplit geometrical Volume of Fluid (VoF) algorithm with support for arbitrary unstructured meshes and dynamic local Adaptive Mesh Refinement (AMR), as well as for two and three dimensional computation is developed. The…

流体动力学 · 物理学 2013-05-16 Tomislav Maric , Holger Marschall , Dieter Bothe

We present a novel time-stepping method, called Operator Splitting with Capillary Relaxation (OSCAR), for efficient Volume-Of-Fluid simulations of capillary-dominated two-phase flow. OSCAR uses operator splitting methods to separate the…

流体动力学 · 物理学 2021-05-25 Julien Maes , Hannah P. Menke

We present novel coupling schemes for partitioned multi-physics simulation that combine four important aspects for strongly coupled problems: implicit coupling per time step, fast and robust acceleration of the corresponding iterative…

The present paper addresses the convergence of a first order in time incremental projection scheme for the time-dependent incompressible Navier-Stokes equations to a weak solution, without any assumption of existence or regularity…

数值分析 · 数学 2023-07-12 Thierry Gallouët , Raphaèle Herbin , Jean-Claude Latché , David Maltese

The statistics obtained from turbulent flow simulations are generally uncertain due to finite time averaging. The techniques available in the literature to accurately estimate these uncertainties typically only work in an offline mode, that…

流体动力学 · 物理学 2023-10-31 Saleh Rezaeiravesh , Christian Gscheidle , Adam Peplinski , Jochen Garcke , Philipp Schlatter

Hydroclimatic processes are characterized by heterogeneous spatiotemporal correlation structures and marginal distributions that can be continuous, mixed-type, discrete or even binary. Simulating exactly such processes can greatly improve…

统计方法学 · 统计学 2017-07-24 Simon Michael Papalexiou

Energy system optimization models are increasing in scope and resolution, yielding large and challenging linear programs. For a long time, the standard way to address such problems has relied on shared-memory interior-point methods (IPM),…

We develop a system-theoretic framework for the structured analysis of distributed optimization algorithms with decomposable cost functions. We model such algorithms as a network of interacting dynamical systems and derive tests for…

最优化与控制 · 数学 2026-04-14 Aron Karakai , Jaap Eising , Andrea Martinelli , Florian Dörfler

An a priori reduced order method based on the proper generalised decomposition (PGD) is proposed to compute parametric solutions involving turbulent incompressible flows of interest in an industrial context, using OpenFOAM. The PGD…

计算物理 · 物理学 2021-11-16 Vasileios Tsiolakis , Matteo Giacomini , Ruben Sevilla , Carsten Othmer , Antonio Huerta

Projective Integration methods are explicit time integration schemes for stiff ODEs with large spectral gaps. In this paper, we show that all existing Projective Integration methods can be written as Runge-Kutta methods with an extended…

数值分析 · 数学 2024-01-22 Julian Koellermeier , Giovanni Samaey

Time series generation is critical for a wide range of applications, which greatly supports downstream analytical and decision-making tasks. However, the inherent temporal heterogeneous induced by localized perturbations present significant…

机器学习 · 计算机科学 2025-11-19 Jintao Zhang , Mingyue Cheng , Zirui Liu , Xianquan Wang , Yitong Zhou , Qi Liu

This work introduces Pressio, an open-source project aimed at enabling leading-edge projection-based reduced order models (ROMs) for large-scale nonlinear dynamical systems in science and engineering. Pressio provides model-reduction…

数学软件 · 计算机科学 2021-09-02 Francesco Rizzi , Patrick J. Blonigan , Eric J. Parish , Kevin T. Carlberg

This paper introduces an adaptive time splitting technique for the solution of stiff evolutionary PDEs that guarantees an effective error control of the simulation, independent of the fastest physical time scale for highly unsteady…

数值分析 · 数学 2012-04-10 Stéphane Descombes , Max Duarte , Thierry Dumont , Violaine Louvet , Marc Massot

In this paper, we investigate projection-based intrusive and data-driven non-intrusive model order reduction methods in numerical simulation of rotating thermal shallow water equation (RTSWE) in parametric and non-parametric form.…

数值分析 · 数学 2023-07-19 Süleyman Yıldız , Murat Uzunca , Bülent Karasözen

In this study, we present a non-intrusive reduced order modeling (ROM) framework for large-scale quasi-stationary systems. The framework proposed herein exploits the time series prediction capability of long short-term memory (LSTM)…

计算工程、金融与科学 · 计算机科学 2019-11-20 Sk. Mashfiqur Rahman , Suraj Pawar , Omer San , Adil Rasheed , Traian Iliescu

A new time discretization scheme for the numerical simulation of two-phase flow governed by a thermodynamically consistent diffuse interface model is presented. The scheme is consistent in the sense that it allows for a discrete in time…

偏微分方程分析 · 数学 2014-02-27 Harald Garcke , Michael Hinze , Christian Kahle