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We present a wavelet-based adaptive method for computing 3D multiscale flows in complex, time-dependent geometries, implemented on massively parallel computers. While our focus is on simulations of flapping insects, it can be used for other…

Numerical Analysis · Mathematics 2021-01-07 Thomas Engels , Kai Schneider , Julius Reiss , Marie Farge

A novel parallel technique for Fourier-Galerkin pseudo-spectral methods with applications to two-dimensional Navier-Stokes equations and inviscid Boussinesq approximation equations is presented. It takes the advantage of the programming…

Computational Physics · Physics 2009-11-10 Z. Yin , Li Yuan , Tao Tang

The secret to the spectacular flight capabilities of flapping insects lies in their wings, which are often approximated as flat, rigid plates. Real wings are however delicate structures, composed of veins and membranes, and can undergo…

Fluid Dynamics · Physics 2020-02-21 Hung Truong , Thomas Engels , Dmitry Kolomenskiy , Kai Schneider

Insect wings can undergo significant deformation during flapping motion owing to inertial, elastic and aerodynamic forces. Changes in shape then alter aerodynamic forces, resulting in a fully coupled Fluid-Structure Interaction (FSI)…

Most biological flyers undergo orderly deformation in flight, and the deformations of wings lead to complex fluid-structure interactions. In this paper, an aerodynamic-structural coupling method of flapping wing is developed based on ANSYS…

Computational Engineering, Finance, and Science · Computer Science 2014-12-18 Dong Qiang , Zhang Xi-Jin , Zhao Ning

The present paper is devoted to implementation of the immersed boundary technique into the Fourier pseudo-spectral solution of the vorticity-velocity formulation of the two-dimensional incompressible Navier--Stokes equations. The immersed…

Mathematical Physics · Physics 2011-10-28 Fereidoun Sabetghadam , Mehdi Badri , Shervin Sharafatmandjoor , Hosnieh Kor

The extraordinary aerial agility of hummingbirds and insects continues to inspire the design of flapping-wing drones. To replicate and analyze such flight, computational fluid dynamics (CFD) simulations that couple flow solvers with rigid…

Massively parallel Fourier transforms are widely used in computational sciences, and specifically in computational fluid dynamics which involves unbounded Poisson problems. In practice the latter is usually the most time-consuming operation…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-03-22 Pierre Balty , Philippe Chatelain , Thomas Gillis

The Volume-of-Fluid (VoF) method for simulating incompressible two-phase flows is widespread in academic and commercial simulation software because of its many advantages: a high degree of volume conservation, applicability to unstructured…

Fluid Dynamics · Physics 2022-12-07 Anja Lippert , Tobias Tolle , Aaron Dörr , Tomislav Maric

Feltor is a modular and free scientific software package. It allows developing platform independent code that runs on a variety of parallel computer architectures ranging from laptop CPUs to multi-GPU distributed memory systems. Feltor…

High order (HO) schemes are attractive candidates for the numerical solution of multiscale problems occurring in fluid dynamics and related disciplines. Among the HO discretization variants, discontinuous Galerkin schemes offer a collection…

Computational Engineering, Finance, and Science · Computer Science 2019-10-08 Nico Krais , Andrea Beck , Thomas Bolemann , Hannes Frank , David Flad , Gregor Gassner , Florian Hindenlang , Malte Hoffmann , Thomas Kuhn , Matthias Sonntag , Claus-Dieter Munz

Wing flexibility plays an essential role in the aerodynamic performance of insects due to the considerable deformation of their wings during flight under the impact of inertial and aerodynamic forces. These forces come from the complex wing…

Fluid Dynamics · Physics 2020-07-20 Hung Truong , Thomas Engels , Dmitry Kolomenskiy , Kai Schneider

We present and analyze a parallel solver for the solution of fluid structure interaction problems described by a fictitious domain approach. In particular, the fluid is modeled by the non-stationary incompressible Navier-Stokes equations,…

Numerical Analysis · Mathematics 2024-02-07 Daniele Boffi , Fabio Credali , Lucia Gastaldi , Simone Scacchi

This work presents the development, performance analysis and subsequent optimization of a GPU-based spectral hyperviscosity solver for turbulent flows described by the three dimensional incompressible Navier-Stokes equations. The method…

Fluid Dynamics · Physics 2024-04-23 Tobias Rohner , Siddhartha Mishra

In a companion study \cite{patterson2020computing2D}, we present a numerical method for simulating 2D viscous flow through an open compliant closed channel, drive by pressure gradient. We consider the highly viscous regime, where fluid…

Fluid Dynamics · Physics 2021-12-28 Sarah E Patterson , Anita T Layton

Stability of flapping flight, a natural requirement for flying insects, is one of the major challenges for designing micro aerial vehicles (MAVs). To better understand how a flying insect could stabilize itself during hover, we have…

Fluid Dynamics · Physics 2018-12-06 Chao Zhang , Tyson L. Hedrick , Rajat Mittal , Yijin Mao

Turbulent flows and fluid-structure interactions (FSI) are ubiquitous in scientific and engineering applications, but their accurate and efficient simulation remains a major challenge due to strong nonlinearities, multiscale interactions,…

Fluid Dynamics · Physics 2025-06-02 Xiantao Fan , Xinyang Liu , Meng Wang , Jian-Xun Wang

We introduce a fast algorithm for computing sparse Fourier transforms supported on smooth curves or surfaces. This problem appear naturally in several important problems in wave scattering and reflection seismology. The main observation is…

Numerical Analysis · Mathematics 2008-01-11 Lexing Ying

Inexpensive, portable lab-on-a-chip devices would revolutionize fields like environmental monitoring and global health, but current microfluidic chips are tethered to extensive off-chip hardware. Insects, however, are self-contained and…

This paper proposes a parallel numerical algorithm to simulate the flow and the transport in a discrete fracture network taking into account the mass exchanges with the surrounding matrix. The discretization of the Darcy fluxes is based on…

Numerical Analysis · Mathematics 2016-11-18 Feng Xing , Roland Masson , Simon Lopez
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