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We introduce a Graph Transformer framework that serves as a general inverse physics engine on meshes, demonstrated through the challenging task of reconstructing aerodynamic flow fields from sparse surface measurements. While deep learning…

Machine Learning · Computer Science 2025-01-29 Gregory Duthé , Imad Abdallah , Eleni Chatzi

This study applies the high-fidelity spectral/hp element method using the open-source Nektar++ framework to simulate the unsteady, transitional flow around complex 3D geometries representative of the Formula 1 industry. This study extends…

In the boundary layer of multicomponent fluid mixtures, the species-specific mass flux in the wall-normal direction is determined by the combination of turbulent-diffusiophoretic diffusion due to composition gradients, and diffusion due to…

Fluid Dynamics · Physics 2018-08-10 Sverre G. Johnsen

Linear stability analysis is performed using a combination of two-dimensional Direct Simulation Monte Carlo (DSMC) method for the computation of the basic state and solution of the pertinent eigenvalue problem, as applied to the canonical…

Direct numerical simulations are conducted to study the receptivity and transition mechanisms in a solitary wave boundary layer developing over randomly organized wave-like bottom topography. The boundary layer flow shows a selective…

Fluid Dynamics · Physics 2021-02-24 Asim Önder , Philip L. -F. Liu

We develop a framework for analyzing the momentum balance of laminar particle-laden flows based on immersed boundary methods, which solve the Navier-Stokes equations and resolve the particle surfaces. This framework differs from previous…

Fluid Dynamics · Physics 2018-06-04 E. Biegert , B. Vowinckel , E. Meiburg

Effectively predicting transonic unsteady flow over an aerofoil poses inherent challenges. In this study, we harness the power of deep neural network (DNN) models using the attention U-Net architecture. Through efficient training of these…

Fluid Dynamics · Physics 2024-03-27 Li-Wei Chen , Nils Thuerey

This paper concerns the study of direct numerical simulation (DNS) data of a wavepacket in laminar turbulent transition in a Blasius boundary layer. The decomposition of this wavepacket into a set of "modes" (a basis that spans an…

Fluid Dynamics · Physics 2017-10-03 Kean Lee Kang , K. S. Yeo

We establish the existence and uniqueness of some smooth accelerating transonic flows governed by the three dimensional steady compressible Euler equations with an external force in cylinders with arbitrary cross sections, which include…

Analysis of PDEs · Mathematics 2024-11-08 Shangkun Weng , Zhouping Xin

This work discusses the correct modeling of the fully nonlinear free surface boundary conditions to be prescribed in water waves flow simulations based on potential flow theory. The main goal of such a discussion is that of identifying a…

Numerical Analysis · Mathematics 2023-06-06 Andrea Mola , Nicola Giuliani , Óscar Crego , Gianluigi Rozza

The aim of this study is to present a reliable combination of the differential transformation method (DTM) and Pad\'e approximants to make, for the first time, a semi-analytic analysis of the problem of free convection boundary-layer flow…

Numerical Analysis · Mathematics 2012-12-10 Haldun Alpaslan Peker , Galip Oturanc

Lyman-$\alpha$ transits provide an opportunity to test models of atmospheric escape directly. However, translating observations into constraints on the properties of the escaping atmosphere is challenging. The major reason for this is that…

Earth and Planetary Astrophysics · Physics 2024-11-01 Ethan Schreyer , James. E. Owen , R. O. Parke Loyd , Ruth Murray-Clay

Optimal transitional mechanisms are analysed for an incompressible shear layer developing over a short, pressure gradient-induced laminar separation bubble (LSB) with peak reversed flow of 2%. Although the bubble remains globally stable,…

Fluid Dynamics · Physics 2025-08-13 Flavio Savarino , Denis Sipp , Georgios Rigas

Systems of N = 1, 2, . . . first-order hyperbolic conservation laws feature N undamped waves propagating at finite speeds. On their own hand, multi-step Finite Difference and lattice Boltzmann schemes with q = N + 1, N + 2, . . . unknowns…

Numerical Analysis · Mathematics 2026-02-11 Thomas Bellotti

Boundary samples are special inputs to artificial neural networks crafted to identify the execution environment used for inference by the resulting output label. The paper presents and evaluates algorithms to generate transparent boundary…

Machine Learning · Computer Science 2021-06-15 Alexander Schlögl , Tobias Kupek , Rainer Böhme

The stability and dynamics of nonlinear Schrodinger superflows past a two-dimensional disk are investigated using a specially adapted pseudo-spectral method based on mapped Chebychev polynomials. This efficient numerical method allows the…

Other Condensed Matter · Physics 2009-11-10 Chi-Tuong Pham , Caroline Nore , Marc-Etienne Brachet

When a fluid flows over a solid surface, it creates a thin boundary layer where the flow velocity is influenced by the surface through viscosity, and can transition from laminar to turbulent at sufficiently high speeds. Understanding and…

Fluid Dynamics · Physics 2024-10-24 Matthew Bonas , David H. Richter , Stefano Castruccio

We analyse and compare various empirical models of wall pressure spectra beneath turbulent boundary layers and propose an alternative machine learning approach using Artificial Neural Networks (ANN). The analysis and the training of the ANN…

Fluid Dynamics · Physics 2022-03-14 J. Dominique , J. Van den Berghe , C. Schram , M. A. Mendez

The layered structure of tetragonal Ni(CN)2, consisting of square-planar Ni(CN)4 units linked in the a-b plane, with no true periodicity along the c-axis, is expected to show anisotropic compression on the application of pressure.…

We exploit a generic instability in the integration of steady, sonic, near-isothermal flows to find the complete transition diagram for recombination fronts (for a model system of equations). The instability requires the integration of the…

Astrophysics · Physics 2015-06-24 R. J. R. Williams , J. E. Dyson