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We develop and analyse finite volume methods for the Poisson problem with boundary conditions involving oblique derivatives. We design a generic framework, for finite volume discretisations of such models, in which internal fluxes are not…

数值分析 · 数学 2019-08-12 Jerome Droniou , Matej Medla , Karol Mikula

We present an improved method for computing incompressible viscous flow around suspended rigid particles using a fixed and uniform computational grid. The main idea is to incorporate Peskin's regularized delta function approach [Acta…

流体动力学 · 物理学 2018-09-24 Markus Uhlmann

Lattice Boltzmann method (LBM) simulations of incompressible flows are nowadays common and well-established. However, for compressible turbulent flows with strong variable density and intrinsic compressibility effects, results are…

流体动力学 · 物理学 2024-12-13 Philipp Spelten , Dominik Wilde , Mario Christopher Bedrunka , Dirk Reith , Holger Foysi

A penalization method for a suitable reformulation of the governing equations as a constrained optimization problem provides accurate numerical simulations for large-amplitude travelling water waves in irrotational flows and in flows with…

流体动力学 · 物理学 2014-08-12 Adrian Constantin , Konstantinos Kalimeris , Otmar Scherzer

Computational fluid dynamics (CFD) studies have been increasingly used for blood flow simulations in intracranial aneurysms (ICAs). However, despite the continuous progress of body-fitted CFD solvers, generating a high quality mesh is still…

计算工程、金融与科学 · 计算机科学 2020-07-28 D. S. Lampropoulos , G. C. Bourantas , B. F. Zwick , G. C. Kagadis , A. Wittek , K. Miller , V. C. Loukopoulos

In numerical simulations a smooth domain occupied by a fluid has to be approximated by a computational domain that typically does not coincide with a physical domain. Consequently, in order to study convergence and error estimates of a…

数值分析 · 数学 2024-03-22 Mária Lukáčová-Medvid'ová , Bangwei She , Yuhuan Yuan

Combining sum factorization, weighted quadrature, and row-based assembly enables efficient higher-order computations for tensor product splines. We aim to transfer these concepts to immersed boundary methods, which perform simulations on a…

计算工程、金融与科学 · 计算机科学 2023-09-06 Benjamin Marussig , René Hiemstra , Dominik Schillinger

We describe an immersed boundary method in which the fluid-structure coupling is achieved in an Eulerian framework. The method is an improved extension of the immersed boundary method originally developed by Kajishima et al. [1], which…

流体动力学 · 物理学 2022-01-12 Naoki Hori , Marco Edoardo Rosti , Shu Takagi

We study the problem of stabilization for the acoustic system with a spatially distributed damping. Without imposing any hypotheses on the structural properties of the damping term, we identify logarithmic decay of solutions with growing…

偏微分方程分析 · 数学 2020-04-23 Kaïs Ammari , Fathi Hassine , Luc Robbiano

We compute the relative localization volumes of the vibrational eigenmodes in two-dimensional systems with a regular body but irregular boundaries under Dirichlet and under Neumann boundary conditions. We find that localized states are rare…

无序系统与神经网络 · 物理学 2016-08-31 S. Russ , Y. Hlushchuk

The aim of this contribution is to address the convergence study of a time and space approximation scheme for an Allen-Cahn problem with constraint and perturbed by a multiplicative noise of It\^o type. The problem is set in a bounded…

数值分析 · 数学 2025-09-03 Caroline Bauzet , Cédric Sultan , Guy Vallet , Aleksandra Zimmermann

Accurate knowledge of acoustic surface admittance or impedance is essential for reliable wave-based simulations, yet its in situ estimation remains challenging due to noise, model inaccuracies, and restrictive assumptions of conventional…

机器学习 · 计算机科学 2026-04-10 Jonas M. Schmid , Johannes D. Schmid , Martin Eser , Steffen Marburg

In this contribution we present how to obtain explicit state space models in port-Hamiltonian form when a mixed finite element method is applied to a linear mechanical system with non-uniform boundary conditions. The key is to express the…

系统与控制 · 电气工程与系统科学 2021-11-01 Tobias Thoma , Paul Kotyczka

An algorithm is proposed to implement unsteady jump boundary conditions, presenting discontinuity in physical quantities, within the lattice Boltzmann method (LBM). This is useful to tackle problems involving mass or heat transfer through…

计算物理 · 物理学 2018-11-06 Badr Kaoui

We describe a method of asymptotic approximations to solutions of mixed boundary value problems for the Laplacian in a three-dimensional domain with many perforations of arbitrary shape, with the Neumann boundary conditions being prescribed…

数学物理 · 物理学 2010-05-25 Vladimir Maz'ya , Alexander Movchan , Michael Nieves

We analyse the ultrasound waves reflected by multiple bubbles in the linearized time-dependent acoustic model. The generated time-dependent wave field is estimated close to the bubbles. The motivation of this study comes from the therapy…

偏微分方程分析 · 数学 2024-09-24 Arpan Mukherjee , Mourad Sini

We study the compressible Navier-Stokes system driven by physically relevant transport noise, where the noise influences both the continuity and momentum equations. Our approach is based on transforming the system into a partial…

偏微分方程分析 · 数学 2025-04-15 D. Breit , E. Feireisl , M. Hofmanova , P. B. Mucha

Blind acoustic parameter estimation consists in inferring the acoustic properties of an environment from recordings of unknown sound sources. Recent works in this area have utilized deep neural networks trained either partially or…

声音 · 计算机科学 2022-07-20 Prerak Srivastava , Antoine Deleforge , Emmanuel Vincent

We present a new method to capture the acoustic characteristics of real-world rooms using commodity devices, and use the captured characteristics to generate similar sounding sources with virtual models. Given the captured audio and an…

声音 · 计算机科学 2021-09-28 Zhenyu Tang , Nicholas J. Bryan , Dingzeyu Li , Timothy R. Langlois , Dinesh Manocha

The diffraction-like process displayed by a spatially localized matter wave is here analyzed in a case where the free evolution is frustrated by the presence of hard-wall-type boundaries (beyond the initial localization region). The…

量子物理 · 物理学 2019-01-28 J. Tounli , A. Alvarado , A. S. Sanz