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We propose conformable Adomian decomposition method (CADM) for fractional partial differential equations (FPDEs). This method is a new Adomian decomposition method (ADM) based on conformable derivative operator (CDO) to solve FPDEs. At the…

General Mathematics · Mathematics 2017-04-11 Omer Acan , Dumitru Baleanu

A volume penalization-based immersed boundary technique is developed and thoroughly validated for fluid flow problems, specifically flow over bluff bodies. The proposed algorithm has been implemented in an Open Source Field Operation and…

Fluid Dynamics · Physics 2023-09-19 Prashant Kumar , Vivek Kumar , Di Chen , Yosuke Hasegawa

The Fast Fourier Transform (FFT) is one of the most widely used algorithms in high performance computing, with critical applications in spectral analysis for both signal processing and the numerical solution of partial differential…

Numerical Analysis · Mathematics 2025-05-01 Laslo Hunhold , John Gustafson

We provide an implementation of the unstructured Finite-Volume Arbitrary Lagrangian / Eulerian (ALE) Interface-Tracking method for simulating incompressible, immiscible two-phase flows as an OpenFOAM module. In addition to…

Computational Physics · Physics 2025-02-13 Moritz Schwarzmeier , Suraj Raju , Željko Tuković , Mathis Fricke , Dieter Bothe , Tomislav Marić

The nuclear community has coupled several three-dimensional Computational Fluid Dynamics (CFD) solvers with one-dimensional system thermal-hydraulic (STH) codes. This work proposes to replace the CFD solver by a reduced order model (ROM) to…

Fluid Dynamics · Physics 2020-10-21 S. Kelbij Star , Giuseppe Spina , Francesco Belloni , Joris Degroote

We develop a software package libEMMI\_MGFD for 3D frequency-domain marine controlled-source electromagnetic (CSEM) modelling and inversion. It is the first open-source C program tailored for geometrical multigrid (GMG) CSEM simulation. An…

Computational Physics · Physics 2024-08-01 Pengliang Yang , An Ping

Computational fluid dynamics (CFD) is a branch of fluid mechanics that uses numerical methods to solve fluid flows. The finite volume method (FVM) is an important one. In FVM, space is discretized to many grid cells. When the number of grid…

Meshfree solution schemes for the incompressible Navier--Stokes equations are usually based on algorithms commonly used in finite volume methods, such as projection methods, SIMPLE and PISO algorithms. However, drawbacks of these algorithms…

Numerical Analysis · Mathematics 2018-02-02 Pratik Suchde , Joerg Kuhnert , Sudarshan Tiwari

We present an efficient solver for massively-parallel direct numerical simulations of incompressible turbulent flows. The method uses a second-order, finite-volume pressure-correction scheme, where the pressure Poisson equation is solved…

Fluid Dynamics · Physics 2019-09-13 Pedro Costa

Click-through rate (CTR) prediction models are common in many online applications such as digital advertising and recommender systems. Field-Aware Factorization Machine (FFM) and Field-weighted Factorization Machine (FwFM) are…

Information Retrieval · Computer Science 2021-06-16 Harshit Pande

A full approximation scheme (FAS) nonlinear multigrid solver for two-phase flow and transport problems driven by wells with multiple perforations is developed. It is an extension to our previous work on FAS solvers for diffusion and…

Numerical Analysis · Mathematics 2023-08-02 Chak Shing Lee , François P. Hamon , Nicola Castelletto , Panayot S. Vassilevski , Joshua A. White

This paper investigates the problem of joint phase tracking and channel decoding in OFDM based Physical-layer Network Coding (PNC) systems. OFDM signaling can obviate the need for tight time synchronization among multiple simultaneous…

Information Theory · Computer Science 2013-12-30 Taotao Wang , Soung Chang Liew

This paper proposes a multivariable extremum seeking scheme using Fast Fourier Transform (FFT) for a network of subsystems working towards optimizing the sum of their local objectives, where the overall objective is the only available…

Optimization and Control · Mathematics 2021-05-11 Dinesh Krishnamoorthy

The source distribution in conditional flow matching is a design parameter that can be calibrated to data, not a default isotropic prior. We exploit this in Multi-Fidelity Flow Matching (MFFM), a cascade refinement framework for parametric…

Machine Learning · Computer Science 2026-05-18 Sipeng Chen , Junliang Liu , Hewei Tang , Shibo Li

In this work, we propose an adaptive geometric multigrid method for the solution of large-scale finite cell flow problems. The finite cell method seeks to circumvent the need for a boundary-conforming mesh through the embedding of the…

Numerical Analysis · Mathematics 2026-01-21 M. Saberi , A. Vogel

This paper introduces an Algebraic MultiScale method for simulation of flow in heterogeneous porous media with embedded discrete Fractures (F-AMS). First, multiscale coarse grids are independently constructed for both porous matrix and…

Numerical Analysis · Mathematics 2017-05-17 Matei Tene , Mohammed Saad Al Kobaisi , Hadi Hajibeygi

Future wireless communication systems are demanding a more flexible physical layer. GFDM is a block filtered multicarrier modulation scheme proposed to add multiple degrees of freedom and cover other waveforms in a single framework. In this…

Information Theory · Computer Science 2015-06-11 Ivan Gaspar , Maximilian Matthé , Nicola Michailow , Luciano Leonel Mendes , Dan Zhang , Gerhard Fettweis

Fourier Neural Operators (FNO) are widely used for learning partial differential equation solution operators. However, FNO lacks architecture-aware optimizations,with its Fourier layers executing FFT, filtering, GEMM, zero padding, and iFFT…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-17 Shixun Wu , Yujia Zhai , Huangliang Dai , Hairui Zhao , Yue Zhu , Haiyang Hu , Zizhong Chen

Federated Learning (FL) enables decentralized model training while preserving data privacy. Despite its benefits, FL faces challenges with non-identically distributed (non-IID) data, especially in long-tailed scenarios with imbalanced class…

Machine Learning · Computer Science 2025-07-22 Tianle Li , Yongzhi Huang , Linshan Jiang , Qipeng Xie , Chang Liu , Wenfeng Du , Lu Wang , Kaishun Wu

Multiphase flow phenomena have been widely observed in the industrial applications, yet it remains a challenging unsolved problem. Three-dimensional computational fluid dynamics (CFD) approaches resolve of the flow fields on finer spatial…

Fluid Dynamics · Physics 2020-05-11 Han Bao , Jinyong Feng , Nam Dinh , Hongbin Zhang