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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…

We present a successful deployment of high-fidelity Large-Eddy Simulation (LES) technologies based on spectral/hp element methods to industrial flow problems, which are characterized by high Reynolds numbers and complex geometries. In…

Computational Engineering, Finance, and Science · Computer Science 2021-06-01 Gianmarco Mengaldo , David Moxey , Michael Turner , Rodrigo C. Moura , Ayad Jassim , Mark Taylor , Joaquim Peiro , Spencer J. Sherwin

The spectral/hp element method combines the geometric flexibility of the classical h-type finite element technique with the desirable numerical properties of spectral methods, employing high-degree piecewise polynomial basis functions on…

Accurate prediction of hypersonic flow fields over a compression ramp is critical for aerodynamic design but remains challenging due to the scarcity of experimental measurements such as velocity. This study systematically develops a data…

Fluid Dynamics · Physics 2025-11-26 Yuan Jia , Guoqin Zhao , Hao Ma , Xin Li , Chi Zhang , Chih-Yung Wen

Resolving fluid transport at engine surfaces is required to predict transient heat loss, which is becoming increasingly important for the development of high-efficiency internal combustion engines (ICE). The limited number of available…

Fluid Dynamics · Physics 2020-09-04 Carl-Philipp Ding , Brian Peterson , Marius Schmidt , Andreas Dreizler , Benjamin Böhm

The finite element simulation of dynamic wetting phenomena, requiring the computation of flow in a domain confined by intersecting a liquid-fluid free surface and a liquid-solid interface, with the three-phase contact line moving across the…

Computational Physics · Physics 2012-02-20 J. E. Sprittles , Y. D. Shikhmurzaev

In response to recent FIA regulations reducing Formula 1 team wind tunnel hours (from 320 hours for last-place teams to 200 hours for championship leaders) and strict budget caps of 135 million USD per year, more efficient aerodynamic…

Computational Engineering, Finance, and Science · Computer Science 2025-09-03 Naval Shah

This paper presents transient numerical simulations of hydraulic systems in engineering applications using the spectral element method (SEM). Along with a detailed description of the underlying numerical method, it is shown that the SEM…

Computational Physics · Physics 2017-10-24 Jan-Frederik Mennemann , Lukas Marko , Jakob Schmidt , Wolfgang Kemmetmüller , Andreas Kugi

The objective of the present work is to construct a sound mathematical, numerical and computational framework relevant to blood flow simulations and to assess it through a careful validation against experimental data. We perform simulations…

Analysis of PDEs · Mathematics 2017-01-12 Vincent Chabannes , Christophe Prud'Homme , Marcela Szopos , Ranine Tarabay

The accurate prediction of aerothermal surface loading is of paramount importance for the design of high speed flight vehicles. In this work, we consider the numerical solution of hypersonic flow over a double-finned geometry,…

Fluid Dynamics · Physics 2022-05-20 Lin Fu , Sanjeeb Bose , Parviz Moin

We propose a novel framework for simulating ink as a particle-laden flow using particle flow maps. Our method addresses the limitations of existing flow-map techniques, which struggle with dissipative forces like viscosity and drag, thereby…

Graphics · Computer Science 2024-09-11 Zhiqi Li , Duowen Chen , Candong Lin , Jinyuan Liu , Bo Zhu

Capillary phenomena are involved in many industrial processes, especially those dealing with composite manufacturing. However, their modelling is still challenging. Therefore, a finite element setting is proposed to better investigate this…

Fluid Dynamics · Physics 2017-11-28 Julien Bruchon , Yujie Liu , Nicolas Moulin

The present study focuses on the development, application, and comparison of three computational frameworks of varying fidelities for assessing the effects of fuel sloshing in internal fuel tanks on the aeroelastic characteristics of a wing…

Fluid Dynamics · Physics 2019-12-17 Shashank Srivastava , Murali Damodaran , Boo Cheong Khoo

This paper presents a new data-driven finite element framework that is applicable to a broad range of engineering simulation problems. In the data-driven approach, the conservation laws and boundary conditions are satisfied by means of the…

Computational Engineering, Finance, and Science · Computer Science 2025-09-09 Adriana Kuliková , Andrei G. Shvarts , Łukasz Kaczmarczyk , Chris J. Pearce

An overview of the algorithm and a sampling of plasma applications of the implicit, adaptive high order finite (spectral) element modeling framework, HiFi, is presented. The distinguishing capabilities of the HiFi code include adaptive…

Plasma Physics · Physics 2016-08-23 Vyacheslav S. Lukin , Alan H. Glasser , Weston Lowrie , Eric T. Meier

Understanding the detailed flame transport in IC engines is important to predict ignition, rate of heat release and assess engine performance. This is particularly important for RANS and LES engine simulations, which often struggle to…

Fluid Dynamics · Physics 2020-09-04 Brian Peterson , Elias Baum , Andreas Dreizler , Benjamin Böhm

We present a comparative experimental study of planar curves arising from a Fourier series whose frequencies are the prime numbers, together with several randomized control models. Starting from the series $F_n(t)=\sum_{p\le n} v_p(n!)\,…

General Mathematics · Mathematics 2026-02-23 Dimitris Vartziotis

The immersed boundary (IB) method is a mathematical framework for fluid-structure interaction problems (FSI) that was originally developed to simulate flows around heart valves. Direct comparison of FSI simulations around heart valves…

Modern diesel engines temporarily use a very late post-injection in the combustion cycle to either generate heat for a diesel particulate filter regeneration or purge a lean NOx trap. In some configurations, unburned fuel is left at the…

This work presents a high-fidelity computational fluid dynamics (CFD) and data-driven modeling framework for assembly-level flow characterization in a four-loop pressurized water reactor (PWR). A full lower-plenum and core-inlet domain was…

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