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FlowBench: A Large Scale Benchmark for Flow Simulation over Complex Geometries

Autor: Tali, Ronak, Rabeh, Ali, Yang, Cheng-Hau, Shadkhah, Mehdi, Karki, Samundra, Upadhyaya, Abhisek, Dhakshinamoorthy, Suriya, Saadati, Marjan, Sarkar, Soumik, Krishnamurthy, Adarsh, Hegde, Chinmay, Balu, Aditya, Ganapathysubramanian, Baskar

Simulating fluid flow around arbitrary shapes is key to solving various engineering problems. However, simulating flow physics across complex geometries remains numerically challenging and computationally resource-intensive, particularly when using c

Externí odkaz: http://arxiv.org/abs/2409.18032

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Modeling and simulations of high-density two-phase flows using projection-based Cahn-Hilliard Navier-Stokes equations

Autor: Rabeh, Ali, Khanwale, Makrand A., Lee, John J., Ganapathysubramanian, Baskar

Accurately modeling the dynamics of high-density ratio ($\mathcal{O}(10^5)$) two-phase flows is important for many applications in material science and manufacturing. In this work, we consider numerical simulations of molten metal undergoing microgra

Externí odkaz: http://arxiv.org/abs/2406.17933

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Stable critical point of the Robin function and bubbling phenomenon for a slightly subcritical elliptic problem

Autor: Fourti, Habib, Ghoudi, Rabeh

In this paper, we deal with the boundary value problem $-\Delta u= |u|^{4/(n-2)}u/[\ln (e+|u|)]^\varepsilon$ in a bounded smooth domain $\Omega$ in $\mathbb{R}^n$, $n\geq 3$ with homogenous Dirichlet boundary condition. Here $\varepsilon>0$. Clapp et

Externí odkaz: http://arxiv.org/abs/2311.14002

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Multispike Solutions for a slightly subcritical elliptic problem with non-power nonlinearity

Autor: Ayed, Mohamed Ben, Fourti, Habib, Ghoudi, Rabeh

In this paper, we are concerned with the following elliptic equation $$\left\{\begin{array}{rrl}-\Delta u&=& |u|^{4/(n-2)}u/[\ln (e+|u|)]^\varepsilon\hbox{ in } \Omega,\\ u&=&0 \hbox{ on }\partial \Omega, \end{array} \right.$$ where $\Omega$ is a smo

Externí odkaz: http://arxiv.org/abs/2204.00589

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