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One of the prevailing challenges in Computational Fluid Dynamics is accurate simulation of two-phase flows involving heat and mass transfer across the fluid interface. This is currently an active field of research, which is to some extend…

Fluid Dynamics · Physics 2021-03-02 Henning Scheufler , Johan Roenby

Simulators based on neural networks offer a path to orders-of-magnitude faster electromagnetic wave simulations. Existing models, however, only address narrowly tailored classes of problems and only scale to systems of a few dozen degrees…

Optics · Physics 2024-04-02 Charles Dove , Jatearoon Boondicharern , Laura Waller

Quantum computational fluid dynamics (QCFD) offers a promising alternative to classical computational fluid dynamics (CFD) by leveraging quantum algorithms for higher efficiency. This paper introduces a comprehensive QCFD method, including…

We develop a linearly-scaling variant of the Force Coupling Method [K. Yeo and M. R. Maxey, J. Fluid Mech. 649, 205-231 (2010)] for computing hydrodynamic interactions among particles confined to a doubly-periodic geometry with either a…

Computational Physics · Physics 2023-05-03 Aref Hashemi , Raul P. Pelaez , Sachin Natesh , Brennan Sprinkle , Ondrej Maxian , Zecheng Gan , Aleksandar Donev

Inferring seabed topography from wave height observations is fundamental to tsunami hazard assessment, coastal planning, and large scale ocean circulation modeling. Classical inversion models typically rely on direct sensing or optimization…

Atmospheric and Oceanic Physics · Physics 2025-09-03 Aoming Liang , Qi Liu , Weicheng Cui

This manuscript presents a fast direct solution technique for solving two dimensional wave scattering problems from quasi-periodic multilayered structures. When the interface geometries are complex, the dominant term in the computational…

Numerical Analysis · Mathematics 2020-05-25 Yabin Zhang , Adrianna Gillman

In the era of precision cosmology, the ability to generate accurate and large-scale galaxy catalogs is crucial for advancing our understanding of the universe. With the flood of cosmological data from current and upcoming missions,…

Cosmology and Nongalactic Astrophysics · Physics 2024-12-13 Tanner Sether , Elena Giusarma , Mauricio Reyes-Hurtado

Numerical simulation of wave propagation in elastic media faces the challenges arising from increasing demand of high resolution in modern 3-D imaging applications, which requires a balance between efficiency and accuracy in addition to…

Numerical Analysis · Mathematics 2023-01-13 Xu Guo , Yaomeng Li , Yunfeng Xiong

In this paper, a high-order gas-kinetic scheme in general curvilinear coordinate (HGKS-cur) is developed for the numerical simulation of compressible turbulence. Based on the coordinate transformation, the Bhatnagar-Gross-Krook (BGK)…

Fluid Dynamics · Physics 2021-07-20 Guiyu Cao , Kun Xu , Liang Pan , Minping Wan , Shiyi Chen

We present a novel linear solver that works well for large systems obtained from discretizing PDEs. It is robust and, for the examples we studied, the computational effort scales linearly with the number of equations. The algorithm is based…

Numerical Analysis · Mathematics 2025-10-20 Klaus Lackner , Ralph Menikoff

We consider the statistics of extreme ship motions in a nonlinear irregular wave field. While an accurate computation is possible by using a full Monte-Carlo method to cover all individual wave conditions, the computational cost may become…

Fluid Dynamics · Physics 2021-08-10 Xianliang Gong , Zhou Zhang , Kevin J. Maki , Yulin Pan

The Half-Space Matching (HSM) method has recently been developed as a new method for the solution of 2D scattering problems with complex backgrounds, providing an alternative to Perfectly Matched Layers (PML) or other artificial boundary…

Implicit methods are attractive for hybrid quantum-classical CFD solvers as the flow equations are combined into a single coupled matrix that is solved on the quantum device, leaving only the CFD discretisation and matrix assembly on the…

Quantum Physics · Physics 2022-09-19 Leigh Lapworth

Scientific machine learning has seen significant progress with the emergence of operator learning. However, existing methods encounter difficulties when applied to problems on unstructured grids and irregular domains. Spatial graph neural…

Machine Learning · Computer Science 2024-09-04 Subhankar Sarkar , Souvik Chakraborty

Numerical simulations of seismic wave propagation in heterogeneous 3D media are central to investigating subsurface structures and understanding earthquake processes, yet are computationally expensive for large problems. This is…

Geophysics · Physics 2025-03-27 Caifeng Zou , Kamyar Azizzadenesheli , Zachary E. Ross , Robert W. Clayton

Out-of-Distribution (OOD) detection under long-tailed distributions is a highly challenging task because the scarcity of samples in tail classes leads to blurred decision boundaries in the feature space. Current state-of-the-art (sota)…

Computer Vision and Pattern Recognition · Computer Science 2026-02-06 Ningkang Peng , Qianfeng Yu , Yuhao Zhang , Yafei Liu , Xiaoqian Peng , Peirong Ma , Yi Chen , Peiheng Li , Yanhui Gu

This paper describes the main features of a pioneering unsteady solver for simulating ideal two-fluid plasmas on unstructured grids, taking profit of GPGPU (General-purpose computing on graphics processing units). The code, which has been…

We present a new method for numerical hydrodynamics which uses a multidimensional generalisation of the Roe solver and operates on an unstructured triangular mesh. The main advantage over traditional methods based on Riemann solvers, which…

Instrumentation and Methods for Astrophysics · Physics 2017-06-28 Sijme-Jan Paardekooper

A simple variant of recycling and rescaling method to generate inflow turbulence using unstructured grid CFD codes is presented. The method has been validated on large eddy simulation of spatially developing flat plate turbulent boundary…

Fluid Dynamics · Physics 2014-08-22 Sunil K. Arolla

In this paper new innovative fourth order compact schemes for Robin and Neumann boundary conditions have been developed for boundary value problems of elliptic PDEs in two and three dimensions. Different from traditional finite difference…

Numerical Analysis · Mathematics 2022-06-07 Zhilin Li , Kejia Pan
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