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We present an adaptive reduced-order model for the efficient time-resolved simulation of fluid-structure interaction problems with complex and non-linear deformations. The model is based on repeated linearizations of the structural balance…

Fluid Dynamics · Physics 2020-04-13 Ali Thari , Vito Pasquariello , Niels Aage , Stefan Hickel

Simulating the interaction of fluids with immersed moving solids is playing an important role for gaining a better quantitative understanding of how fluid dynamics is altered by the presence of obstacles and which forces are exerted on the…

Risk communication seeks to develop a shared understanding of disaster among stakeholders, thereby amplifying public awareness and empowering them to respond more effectively to emergencies. However, existing studies have overemphasized…

Computational Engineering, Finance, and Science · Computer Science 2025-12-04 Weilian Li , Jun Zhu , Saied Pirasteh , Qing Zhu , Yukun Guo , Lan Luo , Youness Dehbi

This paper collects the efforts done in our previous works [P. Degond, S. Jin, L. Mieussens, A Smooth Transition Between Kinetic and Hydrodynamic Equations, J. Comp. Phys., 209 (2005) 665--694.],[P.Degond, G. Dimarco, L. Mieussens, A Moving…

Mathematical Physics · Physics 2014-04-08 Pierre Degond , Giacomo Dimarco , Luc Mieussens

A modified HLLC-type contact preserving Riemann solver for incompressible two-phase flows using the artificial compressibility formulation is presented. Here, the density is omitted from the pressure evolution equation. Also, while…

Computational Physics · Physics 2022-07-14 Sourabh P. Bhat , J. C. Mandal

In this paper, we present an extension of the Generic Second Order Models (GSOM) for traffic flow on road networks. We define a Riemann solver at the junction based on a priority rule and provide an iterative algorithm to construct…

Analysis of PDEs · Mathematics 2024-12-25 Caterina Balzotti , Roberta Bianchini , Maya Briani , Benedetto Piccoli

The pseudopotential model within the Lattice Boltzmann Method (LBM) framework has emerged as a prominent approach in computational fluid dynamics due to its dual strengths in physical intuitiveness and computational tractability. However,…

Fluid Dynamics · Physics 2025-09-03 Yizhong Chen , Zhibin Wang

In this paper we propose a novel and general approach to design semi-implicit methods for the simulation of fluid-structure interaction problems in a fully Eulerian framework. In order to properly present the new method, we focus on the…

Numerical Analysis · Mathematics 2023-10-31 Mirco Ciallella , Thomas Milcent

Shallow flow or thin liquid film models are used for a wide range of physical and engineering problems. Shallow flow models allow capturing the free surface of the fluid with little effort and reducing the three-dimensional problem to a…

Computational Physics · Physics 2018-02-20 Matthias Rauter , Željko Tuković

In this paper we present a genuinely two-dimensional HLLC Riemann solver. On logically rectangular meshes, it accepts four input states that come together at an edge and outputs the multi-dimensionally upwinded fluxes in both directions.…

Computational Physics · Physics 2015-05-30 Dinshaw S. Balsara

We outline a 2D algorithm for solving incompressible flow--structure interaction problems for mixed rigid/soft body representations, within a consistent framework based on the remeshed vortex method. We adopt the one--continuum formulation…

Computational Physics · Physics 2021-08-18 Yashraj Bhosale , Tejaswin Parthasarathy , Mattia Gazzola

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 propose a two-fold approach to model reduction of fluid-structure interaction. The state equations for the fluid are solved with reduced basis methods. These are model reduction methods for parametric partial differential equations using…

Numerical Analysis · Mathematics 2010-05-20 Toni Lassila , Gianluigi Rozza

This work presents a robust and efficient sharp interface immersed boundary (IBM) framework, which is applicable for all-speed flow regimes and is capable of handling arbitrarily complex bodies (stationary or moving). The work deploys an…

Computational Physics · Physics 2021-01-22 Pradeep Kumar Seshadri , Ashoke De

A substantial number of algorithms exists for the simulation of moving particles suspended in fluids. However, finding the best method to address a particular physical problem is often highly non-trivial and depends on the properties of the…

Soft Condensed Matter · Physics 2015-02-10 Jens Harting , Stefan Frijters , Marco Ramaioli , Martin Robinson , Dietrich E. Wolf , Stefan Luding

The numerical approximation of non-isothermal liquid-vapor flow within the compressible regime is a difficult task because complex physical effects at the phase interfaces can govern the global flow behavior. We present a sharp interface…

Fluid Dynamics · Physics 2015-11-12 Stefan Fechter , Claus-Dieter Munz , Christian Rohde , Christoph Zeiler

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

The interaction of a shock wave with a bubble features in many engineering and emerging technological applications, and has been used widely to test new numerical methods for compressible interfacial flows. Recently, density-based…

Computational Physics · Physics 2019-07-04 Fabian Denner , Berend van Wachem

In this paper, we construct a robust adaptive central-upwind scheme on unstructured triangular grids for two-dimensional shallow water equations with variable density. The method is well-balanced, positivity-preserving, and oscillation-free…

Numerical Analysis · Mathematics 2022-01-26 Thuong Nguyen

We present an enhanced immersed interface method for simulating incompressible fluid flows in thin gaps between closely spaced immersed boundaries. This regime, common in engineered structures such as including tribological interfaces and…

Fluid Dynamics · Physics 2026-03-17 Michael J. Facci , Qi Sun , Boyce E. Griffith