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In this paper, we study the Mach reflection phenomenon in inviscid flows using a higher order discontinuous Galerkin method and overset grids. We use the shock capturing procedure proposed in Siva Prasad Kochi et al. using overset grids to…

Numerical Analysis · Mathematics 2023-01-26 S R Siva Prasad Kochi , M Ramakrishna

The evolution and sudden change of steady interaction structures is numerically studied with the fore wedge angle theta_1 in a low enthalpy hypersonic double wedge configuration. It particularly focuses on the conditions of Swantek and…

Fluid Dynamics · Physics 2025-02-21 Yihui Weng , Yi Duan , Qin Li , Yunchuan Wu , Mengyu Wang , Pan Yan , Siyi Li

When placed on an inclined plane, a perfect 2D disk or 3D sphere simply rolls down in a straight line under gravity. But how is the rolling affected if these shapes are irregular or random? Treating the terminal rolling speed as an order…

Classical Physics · Physics 2024-07-30 Daoyuan Qian , Yeonsu Jung , L. Mahadevan

We are concerned with the stability of multidimensional (M-D) transonic shocks in steady supersonic flow past multidimensional wedges. One of our motivations is that the global stability issue for the M-D case is much more sensitive than…

Analysis of PDEs · Mathematics 2017-05-23 Gui-Qiang Chen , Beixiang Fang

We utilize resolvent and weakly nonlinear analyses in combination with direct numerical simulations (DNS) to identify mechanisms for oblique transition in a Mach 5 hypersonic flow over an adiabatic slender double-wedge. Even though the…

Fluid Dynamics · Physics 2022-09-28 Anubhav Dwivedi , G. S. Sidharth , Mihailo R. Jovanović

We consider the problem of 2D supersonic flow onto a solid wedge, or equivalently in a concave corner formed by two solid walls. For mild corners, there are two possible steady state solutions, one with a strong and one with a weak shock…

Mathematical Physics · Physics 2009-09-29 Volker Elling , Tai-Ping Liu

The probability density function (PDF) of the gas density in subsonic and supersonic, isothermal, driven turbulence is analyzed with a systematic set of hydrodynamical grid simulations with resolutions up to 1024^3 cells. We performed a…

Solar and Stellar Astrophysics · Physics 2014-11-27 Lukas Konstandin , Philipp Girichidis , Christoph Federrath , Ralf S. Klessen

This manuscript has been accepted for publication in Physical Review Fluids, see https://journals.aps.org/prfluids/accepted/d5074S28J6b11905012b7cb06505e8f2149dd5f20. This work investigates the mechanisms that underlie transitions to…

Fluid Dynamics · Physics 2020-12-24 Christopher J. Camobreco , Alban Pothérat , Gregory J. Sheard

In this paper, the shock dynamics due to the movement of a bump over a flat plate flying at supersonic speed are numerically investigated. The bump is located at the impingement position of the shock wave and is moved at different speeds.…

Fluid Dynamics · Physics 2023-02-28 Ahmed A. Hamada , Lubna Margha , Mohamed M. AbdelRahman , Amr Guaily

We study the well-posedness and dynamic transitions of the surface tension driven convection in a three-dimensional (3D) rectangular box with non-deformable upper surface and with free-slip boundary conditions. It is shown that as the…

Mathematical Physics · Physics 2011-05-06 Henk Dijkstra , Taylan Sengul , Shouhong Wang

Using a new, second-order accurate numerical method we present dynamical simulations of oblique MHD cosmic ray (CR) modified plane shock evolution using the two-fluid model for diffusive particle acceleration. The numerical shocks evolve to…

Astrophysics · Physics 2009-10-22 Adam Frank , T. W. Jones , Dongsu Ryu

Active flow control of compressible transonic shock-boundary layer interactions over a two-dimensional RAE2822 airfoil at Re = 50,000 is investigated using deep reinforcement learning (DRL). The flow field exhibits highly unsteady dynamics,…

Fluid Dynamics · Physics 2025-11-12 Trishit Mondal , Ricardo Vinuesa , Ameya D. Jagtap

We present our recent results on the Prandtl-Meyer reflection for supersonic potential flow past a solid ramp. When a steady supersonic flow passes a solid ramp, there are two possible configurations: the weak shock solution and the strong…

Analysis of PDEs · Mathematics 2012-01-04 Myoungjean Bae , Gui-Qiang Chen , Mikhail Feldman

We investigate the dynamics of microcapsules in linear shear flow within a reduced model with two degrees of freedom. In previous work for steady shear flow, the dynamic phases of this model, i.e. swinging, tumbling and intermittent…

Soft Condensed Matter · Physics 2009-09-15 Steffen Kessler , Reimar Finken , Udo Seifert

We perform particle-resolved simulations of subsonic and transonic flows past random arrays of spherical particles. The Reynolds number is held at $Re{\approx}300$ to ensure the flow remains in the continuum regime. At low volume fractions,…

Fluid Dynamics · Physics 2022-08-23 Mehdi Khalloufi , Jesse Capecelatro

We study X-ray diffraction in smectic liquid crystal multilayers. Such systems are fabricated as freely suspended films and have a unique layered structure. As such, they can be described as organic Bragg mirrors with sub-nanometer…

Soft Condensed Matter · Physics 2025-10-15 V. V. Samsonov , K. V. Nikolaev , B. I. Ostrovskii , S. N. Yakunin

We study the transition between steady flows of non-cohesive granular materials in quasi-2D bounded heaps by suddenly changing the feed rate. In both experiments and simulations, the primary feature of the transition is a wedge of flowing…

Fluid Dynamics · Physics 2017-11-08 Hongyi Xiao , Julio M. Ottino , Richard M. Lueptow , Paul B. Umbanhowar

We present an analytic approach to the dynamical friction (DF) acting on a circularly moving point mass perturber in a gaseous medium. We demonstrate that, when the perturber is turned on at $t=0$, steady-state (infinite time perturbation)…

Astrophysics of Galaxies · Physics 2022-04-06 Vincent Desjacques , Adi Nusser , Robin Buehler

Main objective of this paper is to describe the dynamic transition of the incompressible MHD equations in a rectangular domain in $\mathbb{R}^{3}$. Our analysis shows that the system undergoes a first dynamic transition either to multiple…

Analysis of PDEs · Mathematics 2011-05-17 Taylan Şengül

The dynamics of a shock wave impinging on a transitional high-enthalpy boundary layer out of thermochemical equilibrium is investigated for the first time by means of a direct numerical simulation. The freestream Mach number is equal to 9…

Fluid Dynamics · Physics 2022-12-15 Donatella Passiatore , Luca Sciacovelli , Paola Cinnella , Giuseppe Pascazio