Numerical Methods for Computational Mathematics and Analysis

Python implementation of solvers for differential algebraic equation's (DAE's) that should be added to scipy one day.

A set of in-progress Jupyter notebooks that seek to ease computations of compressible flow and provide visualizations of potential flow and simple solutions to the Navier-Stokes equations.

ExaDG - High-Order Discontinuous Galerkin for the Exa-Scale

PDEBench: An Extensive Benchmark for Scientific Machine Learning

Partially Averaged Navier Stokes (PANS) Model Simulations for turbulent flows and effective comparison against Large Eddy Simulations (LES) for PitzDaily case on OpenFOAM-5.x.

Neural Operator-Assisted Computational Fluid Dynamics in PyTorch

It uses Navier-Stokes equation as the physical model, the numerical solution obtained by real-time calculation includes scalar and velocity fields displayed in the OpenGL control. Users have a choice of 64x64 and 128x128 resolutions and 7 color options.|使用纳维-斯托克斯方程作为物理模型，实时计算得到的数值解便是标量场及速度场的分布情况，并显示在OpenGL控件中。用户有64x64和128x128两种分辨率以及7种颜色选项可供选择。

⚔️Repository with some CFD examples using the OpenFOAM.

Implementation of a lid driven cavity flow simulator using regular finite differences method with python.

Implementation of the 12 steps approach to the Navier-Stokes equations, essential for simulating fluid dynamics.

This repository is the official implementation of the paper Convolutional Neural Operators for robust and accurate learning of PDEs

Multiple fluid models and scenarios are solved using FEniCS.

Navier-Stokes-Simulations

A sequence of Jupyter notebooks featuring the "12 Steps to Navier-Stokes" http://lorenabarba.com/

PDE solver focused on Navier-Stokes (and related) equations with arbitrary boundary conditions, employing Fourier (FC-Gram) expansions. Parallelized using MPI-OpenMP-CUDA.

This project aims to solve the 2D Navier-Stokes equations using the finite difference method for single-phase laminar flow and verify results using the benchmark lid cavity test.

a example for smoothed particle hydordynamics

Python script for Linear, Non-Linear Convection, Burger’s & Poisson Equation in 1D & 2D, 1D Diffusion Equation using Standard Wall Function, 2D Heat Conduction Convection equation with Dirichlet & Neumann BC, full Navier-Stokes Equation coupled with Poisson equation for Cavity and Channel flow in 2D using Finite Difference Method & Finite Volume…

A rewrite of my fluid simulation project entirely in Rust