AmeyaJagtap/Conservative_PINNs

We propose a conservative physics-informed neural network (cPINN) on decompose domains for nonlinear conservation laws. The conservation property of cPINN is obtained by enforcing the flux continuity in the strong form along the sub-domain interfaces.

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This project helps researchers and engineers solve complex physics problems governed by conservation laws, like fluid dynamics or heat transfer. It takes the mathematical formulation of these laws and uses a specialized neural network approach to output numerical solutions, even for challenging forward and inverse problems. Computational scientists, physicists, and engineers working with differential equations would find this valuable.

No commits in the last 6 months.

Use this if you need to solve nonlinear conservation laws, such as the Burgers, Navier-Stokes, or Euler equations, and want to leverage the benefits of domain decomposition and neural networks for potentially faster and more flexible computation.

Not ideal if you are looking for a pre-packaged simulation tool without engaging directly with the underlying mathematical models and neural network architecture.

computational-fluid-dynamics numerical-analysis partial-differential-equations physical-modeling scientific-computing
Stale 6m No Package No Dependents
Maintenance 0 / 25
Adoption 9 / 25
Maturity 16 / 25
Community 20 / 25

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Stars

77

Forks

23

Language

Python

License

MIT

Last pushed

Feb 01, 2023

Commits (30d)

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