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In this article, we present a cut finite element method for two-phase Navier-Stokes flows. The main feature of the method is the formulation of a unified continuous interior penalty stabilisation approach for, on the one hand, stabilising…

数值分析 · 计算机科学 2019-05-01 Susanne Claus , Pierre Kerfriden

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

In this investigation, a data-driven turbulence closure framework is introduced and deployed for the sub-grid modelling of Kraichnan turbulence. The novelty of the proposed method lies in the fact that snapshots from high-fidelity numerical…

流体动力学 · 物理学 2018-11-14 Romit Maulik , Omer San , Adil Rasheed , Prakash Vedula

In this paper, we derive a practical, general framework for creating adaptive iterative (linearization or splitting) algorithms to solve multi-physics problems. This means that, given an iterative method, we derive \textit{a posteriori}…

数值分析 · 数学 2026-01-26 Jakob S. Stokke , Kundan Kumar , Florin A. Radu

We propose a machine learning framework based on Flow Matching (FM) to identify critical properties in many-body systems efficiently. Using the 2D XY model as a benchmark, we demonstrate that a single network, trained only on configurations…

统计力学 · 物理学 2026-01-06 Qian-Rui Lee , Daw-Wei Wang

We use Wegner's flow equation method to investigate the infinite-$U$ periodic Anderson model. We show that this method poses a new approach to the description of heavy fermion behaviour. Within this scheme we derive an effective Hamiltonian…

强关联电子 · 物理学 2009-11-10 Karsten Meyer

This paper proposes a framework for developing forecasting models by streamlining the connections between core components of the developmental process. The proposed framework enables swift and robust integration of new datasets,…

机器学习 · 计算机科学 2023-04-14 Jonathan Hans Soeseno , Sergio González , Trista Pei-Chun Chen

In order to obtain the information about flow field, traditional computational fluid dynamics methods need to solve the Navier-Stokes equations on the mesh with boundary conditions, which is a time-consuming task. In this work, a…

流体动力学 · 物理学 2022-07-05 Kuijun Zuo , Shuhui Bu , Weiwei Zhang , Jiawei Hu , Zhengyin Ye , Xianxu Yuan

A data-driven framework for spatial-temporal prediction is proposed for reducing the computational cost of industrial thermal striping applications. The framework aims to efficiently identify the flow features and utilize them in…

流体动力学 · 物理学 2023-06-01 Yu-Jou Wang , Emilio Baglietto , Koroush Shirvan

The multi-scale nature of gaseous flows poses tremendous difficulties for theoretical and numerical analysis. The Boltzmann equation, while possessing a wider applicability than hydrodynamic equations, requires significantly more…

流体动力学 · 物理学 2023-07-19 Tianbai Xiao , Steffen Schotthöfer , Martin Frank

Process optimization in chemical engineering may be hindered by the limited availability of reliable thermodynamic data for fluid mixtures. Remarkable progress is being made in predicting thermodynamic mixture properties by machine learning…

计算工程、金融与科学 · 计算机科学 2025-10-14 Martin Bubel , Tobias Seidel , Michael Bortz

Recently, Garcke et al.[Garcke, Hinze, Kahle, A stable and linear time discretization for a thermodynamically consistent model for two-phase incompressible flow, Applied Numerical Mathematics 99, pp. 151-171, 2016] developed a consistent…

数值分析 · 数学 2017-02-16 Jessica Bosch , Christian Kahle , Martin Stoll

A two-fluid model is proposed to describe the transport properties of granular superconductors. Using the resistively shunted junction model and some aspects of the two-level system theory, a statistical model is developed which takes into…

Surface-subsurface flow models for hydrological applications solve a coupled multiphysics problem. This usually consists of some form of the Richards and shallow water equations. A typical setup couples these two nonlinear partial…

数值分析 · 数学 2025-04-25 Valentina Schüller , Philipp Birken , Andreas Dedner

Binary-fluid flows can be modeled using the Navier-Stokes-Cahn-Hilliard equations, which represent the boundary between the fluid constituents by a diffuse interface. The diffuse-interface model allows for complex geometries and topological…

The Cryogenic Division at Fermilab develops large-scale cryogenic systems for particle accelerators and superconducting magnet test facilities. To support design and diagnostics, a Python-based code was created to calculate pressure drops…

加速器物理 · 物理学 2025-09-22 R Beckwith , R Bruce , S Koshelev

The 1-D Two-Fluid Model (TFM) promises a powerful and computationally cheap platform for simulating multi-fluid flow phenomena. However, runaway Kelvin-Helmholtz instabilities plagued previous approaches, necessitating aphysical…

流体动力学 · 物理学 2025-09-08 Alexander López-de-Bertodano , Alejandro Clausse

Artificial intelligence techniques are considered an effective means to accelerate flow field simulations. However, current deep learning methods struggle to achieve generalization to flow field resolutions while ensuring computational…

流体动力学 · 物理学 2024-05-15 Kuijun Zuo , Zhengyin Ye , Linyang Zhu , Xianxu Yuan , Weiwei Zhang

Given an inverse problem with a normalizing flow prior, we wish to estimate the distribution of the underlying signal conditioned on the observations. We approach this problem as a task of conditional inference on the pre-trained…

机器学习 · 统计学 2021-06-16 Jay Whang , Erik M. Lindgren , Alexandros G. Dimakis

We propose an interaction flow scheme that sums up the perturbation expansion of many-particle systems by successively increasing the interaction strength. It combines the unbiasedness of renormalization group methods with the simplicity of…

强关联电子 · 物理学 2007-05-23 Carsten Honerkamp , Daniel Rohe , Sabine Andergassen , Tilman Enss