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Shallow free surface flows are often characterized by both subdomains that require high modeling complexity and subdomains that can be sufficiently accurately modeled with low modeling complexity. Moreover, these subdomains may change in…

Fluid Dynamics · Physics 2025-11-04 Rik Verbiest , Julian Koellermeier

We present Submerse, an end-to-end framework for visualizing flooding scenarios on large and immersive display ecologies. Specifically, we reconstruct a surface mesh from input flood simulation data and generate a to-scale 3D virtual scene…

Human-Computer Interaction · Computer Science 2025-01-17 Saeed Boorboor , Yoonsang Kim , Ping Hu , Josef M. Moses , Brian A. Colle , Arie E. Kaufman

When simulating three-dimensional flows interacting with deformable and elastic obstacles, current methods often encounter complexities in the governing equations and challenges in numerical implementation. In this work, we introduce a…

Fluid Dynamics · Physics 2026-01-09 Andreu F. Gallen , Joan Muñoz Biosca , Mario Castro , Aurora Hernández-Machado

The capability to accurately predict flood flows via numerical simulations is a key component of contemporary flood risk management practice. However, modern flood models lack the capacity to accurately model flow interactions with linear…

Fluid Dynamics · Physics 2024-12-09 James Mckenna , Vassilis Glenis , Chris Kilsby

The derivation of shallow water models from Navier-Stokes equations is revisited yielding a class of two-layer shallow water models.An improved velocity profile is proposed, based on the superposition of an ideal fluid and a viscous layer…

Analysis of PDEs · Mathematics 2018-06-11 François James , Pierre-Yves Lagrée , Hoang-Minh Le , Mathilde Legrand

Despite their well-known limitations, Reynolds-Averaged Navier-Stokes (RANS) models are still the workhorse tools for turbulent flow simulations in today's engineering application. For many practical flows, the turbulence models are by far…

Computational Physics · Physics 2018-09-11 H. Xiao , J. -L. Wu , J. -X. Wang , R. Sun , C. J. Roy

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

Uniform flow distribution across parallel channels directly impacts the performance and efficiency of many fluid and energy systems. However, designing efficient flow manifolds that ensure uniform flow distribution remains a challenge. This…

Fluid Dynamics · Physics 2025-10-06 Sanjay Vermani , Nitish Anand

In computational fluid dynamics, the demand for increasingly multidisciplinary reliable simulations, for both analysis and design optimization purposes, requires transformational advances in individual components of future solvers. At the…

Near-surface turbulent flows beneath a free surface are reconstructed from sparse measurements of the surface height variation, by a novel neural network algorithm known as the {\em SHallow REcurrent Decoder} (SHRED). The reconstruction of…

Fluid Dynamics · Physics 2026-03-12 Kristoffer S. Moen , Jørgen R. Aarnes , Simen Å. Ellingsen , J. Nathan Kutz

Simflowny is an open platform which automatically generates parallel code of scientific dynamical models for different simulation frameworks. Here we present major upgrades on this software to support an extended set of families of models,…

Mathematical Software · Computer Science 2018-07-04 A. Arbona , B. Miñano , A. Rigo , C. Bona , C. Palenzuela , A. Artigues , C. Bona-Casas , J. Massó

We develop numerical multiscale methods for viscous boundary layer flow. The goal is to derive effective boundary conditions, or wall laws, through high resolution simulations localized to the boundary coupled to a coarser simulation in the…

Numerical Analysis · Mathematics 2021-10-14 Sean Carney , Björn Engquist

We present a novel framework inspired by the Immersed Boundary Method for predicting the fluid-structure interaction of complex structures immersed in flows with moderate to high Reynolds numbers. The main novelties of the proposed…

Normalizing flows are a powerful technique for obtaining reparameterizable samples from complex multimodal distributions. Unfortunately, current approaches are only available for the most basic geometries and fall short when the underlying…

Machine Learning · Statistics 2021-05-03 Luca Falorsi

It is shown how to model weakly dissipative free-surface flows using the classical potential flow approach. The Helmholtz-Leray decomposition is applied to the linearized 3D Navier-Stokes equations. The governing equations are treated using…

Atmospheric and Oceanic Physics · Physics 2020-02-20 Denys Dutykh , Frederic Dias

We propose an extension of the discretization approaches for multilayer shallow water models, aimed at making them more flexible and efficient for realistic applications to coastal flows. A novel discretization approach is proposed, in…

Numerical Analysis · Mathematics 2018-04-18 Luca Bonaventura , Enrique D. Fernández-Nieto , José Garres-Díaz , Gladys Narbona-Reina

Forest canopies have been shown to alter the dynamics of flows over complex terrain. Deficiencies have been found when tall canopies are represented in numerical simulations by an increase in roughness length at the surface. Methods of…

Atmospheric and Oceanic Physics · Physics 2021-06-16 John Tolladay , Charles Chemel

We showcase the plain diffusion models with Transformers are effective predictors of fluid dynamics under various working conditions, e.g., Darcy flow and high Reynolds number. Unlike traditional fluid dynamical solvers that depend on…

Machine Learning · Computer Science 2024-09-23 Dongyu Luo , Jianyu Wu , Jing Wang , Hairun Xie , Xiangyu Yue , Shixiang Tang

Existing model validation studies in geoscience often disregard or partly account for uncertainties in observations, model choices, and input parameters. In this work, we develop a statistical framework that incorporates a probabilistic…

Flow in fractured porous media is of high relevance in a variety of geotechnical applications, given the fact that they ubiquitously occur in nature and that they can have a substantial impact on the hydraulic properties of rock. As a…

Numerical Analysis · Mathematics 2020-12-03 Dennis Gläser , Martin Schneider , Bernd Flemisch , Rainer Helmig