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A volume penalization-based immersed boundary technique is developed and thoroughly validated for fluid flow problems, specifically flow over bluff bodies. The proposed algorithm has been implemented in an Open Source Field Operation and…

流体动力学 · 物理学 2023-09-19 Prashant Kumar , Vivek Kumar , Di Chen , Yosuke Hasegawa

In this paper, a novel immersed boundary method is developed, validated, and applied. Through devising a second-order three-step flow reconstruction scheme, the proposed method is able to enforce the Dirichlet, Neumann, Robin, and Cauchy…

流体动力学 · 物理学 2018-09-10 Huangrui Mo , Fue-Sang Lien , Fan Zhang , Duane S. Cronin

This paper aims to compare and evaluate various obstacle approximation techniques employed in the context of the steady incompressible Navier-Stokes equations. Specifically, we investigate the effectiveness of a standard volume penalization…

偏微分方程分析 · 数学 2024-01-05 Piotr Krzyżanowski , Sadokat Malikova , Piotr B. Mucha , Tomasz Piasecki

We present a mechanism to explicitly couple the finite-difference discretizations of 2D acoustic and isotropic elastic wave systems that are separated by straight interfaces. Such coupled simulations allow the application of the elastic…

计算物理 · 物理学 2021-04-13 Longfei Gao , David Keyes

A numerical tool relying on sharp Immersed Boundary Method (IBM) is developed for the analysis of aerospace applications. The method, which is conceived for application using segregated solvers relying on implicit time discretization, uses…

计算工程、金融与科学 · 计算机科学 2025-02-25 M. A. Chemak , E. Constant , M. Meldi

This article investigates adaptive mesh refinement procedures for the time-domain wave equation with Neumann boundary conditions, formulated as an equivalent hypersingular boundary integral equation. Space-adaptive and time-adaptive…

数值分析 · 数学 2025-08-28 Alessandra Aimi , Giulia Di Credico , Heiko Gimperlein , Chiara Guardasoni

We present a methodology for simulating three-dimensional flow of incompressible viscoplastic fluids modelled by generalised Newtonian rheological equations. It is implemented in a highly efficient framework for massively parallelisable…

流体动力学 · 物理学 2019-09-17 Knut Sverdrup , Ann Almgren , Nikolaos Nikiforakis

In this contribution, a finite element scheme to impose mixed boundary conditions without introducing Lagrange multipliers is presented for hyperbolic systems described as port-Hamiltonian systems. The strategy relies on finite element…

数值分析 · 数学 2026-01-23 S. D. M. de Jong , A. Brugnoli , R. Rashad , Y. Zhang , S. Stramigioli

In this paper, we consider numerical solutions of a time domain acoustic-elastic wave interaction problem which occurs between a bounded penetrable elastic body and a compressible inviscid fluid. It is also called the fluid-solid…

数值分析 · 数学 2019-03-20 Yingda Cheng , Jing Huang , Xiaozhou Li , Liwei Xu

This paper proposes a new method, in the frequency domain, to define absorbing boundary conditions for general two-dimensional problems. The main feature of the method is that it can obtain boundary conditions from the discretized equations…

经典物理 · 物理学 2015-05-14 Denis Duhamel , Tien-Minh Nguyen

This paper proposes a volumetric penalty method to simulate the boundary conditions for a non-linear hyperbolic problem. The boundary conditions are assumed to be maximally strictly dissipative on a non-characteristic boundary. This…

数值分析 · 数学 2013-12-18 Thomas Auphan

We introduce an efficient boundary-adapted spectral method for peridynamic diffusion problems with arbitrary boundary conditions. The spectral approach transforms the convolution integral in the peridynamic formulation into a multiplication…

数值分析 · 数学 2020-02-03 Siavash Jafarzadeh , Adam Larios , Florin Bobaru

Quick simulations for iterative evaluations of multi-design variables and boundary conditions are essential to find the optimal acoustic conditions in building design. We propose to use the reduced basis method (RBM) for realistic room…

计算工程、金融与科学 · 计算机科学 2023-02-01 Hermes Sampedro Llopis , Cheol-Ho Jeong , Allan P. Engsig-Karup

Sakurai et al. (J Comput Phys, 2019) presented a flux-based volume penalization (VP) approach for imposing inhomogeneous Neumann boundary conditions on embedded interfaces. The flux-based VP method modifies the diffusion coefficient of the…

Conjugate scalar transport with interfacial jump conditions on complex interfacial geometries is common in thermal and chemical processes, while its accurate and efficient simulations are still quite challenging. In the present study, a…

计算物理 · 物理学 2026-01-16 Ming Liu , Yosuke Hasegawa

A systematic study of small, time-dependent, perturbations to geometric wave-equation domains is hardly existent. Acoustic enclosures are typical examples featuring locally reacting surfaces that respond to a pressure gradient or a pressure…

数学物理 · 物理学 2018-01-03 David T. Heider , J. Leo van Hemmen

We introduce a new implementation of the Immersed Boundary method in the finite-volume library OpenFOAM. The implementation is tailored to the simulation of temperature-dependent non-Newtonian polymeric flows in complex moving geometries,…

数值分析 · 数学 2024-08-12 G. Negrini , N. Parolini , M. Verani

This paper presents a general and robust method for the fluid-structure interaction of membranes and shells undergoing large displacement and large added-mass effects by coupling an immersed-boundary method with a shell finite-element…

流体动力学 · 物理学 2023-08-15 Marin Lauber , Gabriel D. Weymouth , Georges Limbert

In this work it is shown how the immersed boundary method of (Peskin2002) for modeling flexible structures immersed in a fluid can be extended to include thermal fluctuations. A stochastic numerical method is proposed which deals with…

软凝聚态物质 · 物理学 2023-02-28 P. J. Atzberger , P. R. Kramer , C. S. Peskin

In this paper, we formulate, analyse and implement the discrete formulation of the Brinkman problem with mixed boundary conditions, including slip boundary condition, using the Nitsche's technique for virtual element methods. The divergence…

数值分析 · 数学 2024-06-13 David Mora , Jesus Vellojin , Nitesh Verma