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In fluid dynamics, an important problem is linked to the knowledge of the fluid pressure. Recently, another approach to study incompressible fluid flow was suggested. It consists in using a general pressure equation (GPE) derived from…

Fluid Dynamics · Physics 2020-05-14 Adrien Toutant

A scale-resolving simulation methodology that includes stochastic energy backscatter is incorporated into a proprietary block-structured compressible flow solver. Particular attention is devoted to the discretisation of the convective terms…

Fluid Dynamics · Physics 2025-11-12 Angelo Passariello , Pietro Catalano , Carmine De Lucia , Renato Tognaccini

We present a one-equation subgrid scale model that evolves the turbulence energy corresponding to unresolved velocity fluctuations in large eddy simulations. The model is derived in the context of the Germano consistent decomposition of the…

Astrophysics · Physics 2009-11-11 W. Schmidt , J. C. Niemeyer , W. Hillebrandt

Adaptive mesh refinement (AMR) reduces computational costs in CFD by concentrating resolution where needed, but efficiently embedding complex, non-aligned geometries on GPUs remains challenging. We present a GPU-native algorithm for…

Computational Engineering, Finance, and Science · Computer Science 2026-04-28 Khodr Jaber , Ebenezer E. Essel , Pierre E. Sullivan

We introduce an immersed high-order discontinuous Galerkin method for solving the compressible Navier-Stokes equations on non-boundary-fitted meshes. The flow equations are discretised with a mixed discontinuous Galerkin formulation and are…

Numerical Analysis · Mathematics 2020-01-08 Hong Xiao , Eky Febrianto , Qiaoling Zhang , Fehmi Cirak

In the Reduced Basis approximation of Stokes and Navier-Stokes problems, the Galerkin projection on the reduced spaces does not necessarily preserved the inf-sup stability even if the snapshots were generated through a stable full order…

Numerical Analysis · Mathematics 2023-08-08 Shafqat Ali , Francesco Ballarin , Gianluigi Rozza

In this paper, a compact third-order gas-kinetic scheme is proposed for the compressible Euler and Navier-Stokes equations. The main reason for the feasibility to develop such a high-order scheme with compact stencil, which involves only…

Numerical Analysis · Mathematics 2023-07-19 Liang Pan , Kun Xu

Image reconstruction by Algebraic Methods (AM) outperforms the transform methods in situations where the data collection procedure is constrained by time, space, and radiation dose. AM algorithms can also be applied for the cases where…

Image and Video Processing · Electrical Eng. & Systems 2022-08-30 Sudhir Kumar Chaudhary , Pankaj Wahi , Prabhat Munshi

This paper presents an enriched Galerkin (EG) finite element method for the incompressible Navier--Stokes equations. The method augments continuous piecewise linear velocity spaces with elementwise bubble functions, yielding a locally…

Numerical Analysis · Mathematics 2025-11-26 Chun Song , Minfu Feng

Accurately capturing the dynamic forces acting on rotors as well as their wake effects presents a significant challenge for computational fluid dynamics (CFD) due to high Reynolds numbers and a large range of spatio-temporal scales. The…

We present a methodology to determine the best turbulence closure for an eddy-permitting ocean model through measurement of the error-landscape of the closure's subgrid spectral transfers and flux. We apply this method to 6 different…

Fluid Dynamics · Physics 2015-06-05 Jonathan Pietarila Graham , Todd Ringler

In the finite volume framework, a Lax-Wendrof type second-order flux solver for the compressible Navier-Stokes equations is proposed by utilizing a hyperbolic relaxation model. The flux solver is developed by applying the generalized…

Numerical Analysis · Mathematics 2025-03-03 Tuowei Chen , Zhifang Du

Shock waves in high-speed fluid dynamics produce near-discontinuities in the fluid momentum, density, and energy. Most contemporary works use artificial viscosity or limiters as numerical mitigation of the Gibbs--Runge oscillations that…

Computational Engineering, Finance, and Science · Computer Science 2026-04-09 Anand Radhakrishnan , Benjamin Wilfong , Spencer H. Bryngelson , Florian Schäfer

A new slow growth formulation for DNS of wall-bounded turbulent flow is developed and demonstrated to enable extension of slow growth modeling concepts to complex boundary layer flows. As in previous slow growth approaches, the formulation…

Fluid Dynamics · Physics 2017-08-16 Victor Topalian , Todd A. Oliver , Rhys Ulerich , Robert D. Moser

A stochastic approach based on generalized Polynomial Chaos (gPC) is used to quantify the error in Large-Eddy Simulation (LES) of a spatially-evolving mixing layer flow and its sensitivity to different simulation parameters, viz. the grid…

Fluid Dynamics · Physics 2013-09-27 Marcello Meldi , Maria Vittoria Salvetti , Pierre Sagaut

We investigate the problem of recovering a structured sparse signal from a linear observation model with an uncertain dynamic grid in the sensing matrix. The state-of-the-art expectation maximization based compressed sensing (EM-CS)…

Signal Processing · Electrical Eng. & Systems 2024-07-25 An Liu , Yufan Zhou , Wenkang Xu

Typical multispecies compressible Navier-Stokes computations employ conservative equations for mass fraction transport. Upwind discretisations of these governing equations produce spurious pressure oscillations at diffuse contact surfaces…

Computational Physics · Physics 2018-06-28 Ben Thornber , Michael Groom , David Youngs

We present a novel hyperbolic reformulation of the Serre-Green-Naghdi (SGN) model for the description of dispersive water waves. Contrarily to the classical Boussinesq-type models, it contains only first order derivatives, thus allowing to…

Numerical Analysis · Mathematics 2020-04-01 Caterina Bassi , Luca Bonaventura , Saray Busto Ulloa , Michael Dumbser

The scale-resolving simulation of high speed compressible flow through direct numerical simulation (DNS) or large eddy simulation (LES) requires shock-capturing schemes to be more accurate for resolving broadband turbulence and robust for…

Computational Physics · Physics 2020-07-16 Xi Deng , Zhen-hua Jiang , Peter Vincent , Feng Xiao , Chao Yan

We develop a linearized boundary control method for the inverse boundary value problem of determining the damping coefficient in the damped wave equation. The objective is to reconstruct an unknown perturbation in a known background damping…

Analysis of PDEs · Mathematics 2026-03-11 Tianyu Yang , Yang Yang