Physics-Informed Machine Learning of Argon Gas-Driven Melt Pool Dynamics
- URL: http://arxiv.org/abs/2307.12304v1
- Date: Sun, 23 Jul 2023 12:12:44 GMT
- Title: Physics-Informed Machine Learning of Argon Gas-Driven Melt Pool Dynamics
- Authors: R. Sharma, W. Grace Guo, M. Raissi, Y.B. Guo
- Abstract summary: Melt pool dynamics in metal additive manufacturing (AM) is critical to process stability, microstructure formation, and final properties of the printed materials.
This paper provides a physics-informed machine learning (PIML) method by integrating neural networks with the governing physical laws to predict the melt pool dynamics.
The data-efficient PINN model is attributed to the soft penalty by incorporating governing partial differential equations (PDEs), initial conditions, and boundary conditions in the PINN model.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Melt pool dynamics in metal additive manufacturing (AM) is critical to
process stability, microstructure formation, and final properties of the
printed materials. Physics-based simulation including computational fluid
dynamics (CFD) is the dominant approach to predict melt pool dynamics. However,
the physics-based simulation approaches suffer from the inherent issue of very
high computational cost. This paper provides a physics-informed machine
learning (PIML) method by integrating neural networks with the governing
physical laws to predict the melt pool dynamics such as temperature, velocity,
and pressure without using any training data on velocity. This approach avoids
solving the highly non-linear Navier-Stokes equation numerically, which
significantly reduces the computational cost. The difficult-to-determine model
constants of the governing equations of the melt pool can also be inferred
through data-driven discovery. In addition, the physics-informed neural network
(PINN) architecture has been optimized for efficient model training. The
data-efficient PINN model is attributed to the soft penalty by incorporating
governing partial differential equations (PDEs), initial conditions, and
boundary conditions in the PINN model.
Related papers
- A Posteriori Evaluation of a Physics-Constrained Neural Ordinary
Differential Equations Approach Coupled with CFD Solver for Modeling Stiff
Chemical Kinetics [4.125745341349071]
We extend the NeuralODE framework for stiff chemical kinetics by incorporating mass conservation constraints directly into the loss function during training.
This ensures that the total mass and the elemental mass are conserved, a critical requirement for reliable downstream integration with CFD solvers.
arXiv Detail & Related papers (2023-11-22T22:40:49Z) - Discovering Interpretable Physical Models using Symbolic Regression and
Discrete Exterior Calculus [55.2480439325792]
We propose a framework that combines Symbolic Regression (SR) and Discrete Exterior Calculus (DEC) for the automated discovery of physical models.
DEC provides building blocks for the discrete analogue of field theories, which are beyond the state-of-the-art applications of SR to physical problems.
We prove the effectiveness of our methodology by re-discovering three models of Continuum Physics from synthetic experimental data.
arXiv Detail & Related papers (2023-10-10T13:23:05Z) - Machine learning of hidden variables in multiscale fluid simulation [77.34726150561087]
Solving fluid dynamics equations often requires the use of closure relations that account for missing microphysics.
In our study, a partial differential equation simulator that is end-to-end differentiable is used to train judiciously placed neural networks.
We show that this method enables an equation based approach to reproduce non-linear, large Knudsen number plasma physics.
arXiv Detail & Related papers (2023-06-19T06:02:53Z) - NeuralStagger: Accelerating Physics-constrained Neural PDE Solver with
Spatial-temporal Decomposition [67.46012350241969]
This paper proposes a general acceleration methodology called NeuralStagger.
It decomposing the original learning tasks into several coarser-resolution subtasks.
We demonstrate the successful application of NeuralStagger on 2D and 3D fluid dynamics simulations.
arXiv Detail & Related papers (2023-02-20T19:36:52Z) - Deep Physics Corrector: A physics enhanced deep learning architecture
for solving stochastic differential equations [0.0]
We propose a novel gray-box modeling algorithm for physical systems governed by differential equations (SDE)
The proposed approach, referred to as the Deep Physics Corrector (DPC), blends approximate physics represented in terms of SDE with deep neural network (DNN)
We illustrate the performance of the proposed DPC on four benchmark examples from the literature.
arXiv Detail & Related papers (2022-09-20T14:30:07Z) - Physics-informed machine learning with differentiable programming for
heterogeneous underground reservoir pressure management [64.17887333976593]
Avoiding over-pressurization in subsurface reservoirs is critical for applications like CO2 sequestration and wastewater injection.
Managing the pressures by controlling injection/extraction are challenging because of complex heterogeneity in the subsurface.
We use differentiable programming with a full-physics model and machine learning to determine the fluid extraction rates that prevent over-pressurization.
arXiv Detail & Related papers (2022-06-21T20:38:13Z) - Thermodynamically Consistent Machine-Learned Internal State Variable
Approach for Data-Driven Modeling of Path-Dependent Materials [0.76146285961466]
Data-driven machine learning models, such as deep neural networks and recurrent neural networks (RNNs), have become viable alternatives.
This study proposes a machine-learned data robustness-driven modeling approach for path-dependent materials based on the measurable material.
arXiv Detail & Related papers (2022-05-01T23:25:08Z) - Neural Operator with Regularity Structure for Modeling Dynamics Driven
by SPDEs [70.51212431290611]
Partial differential equations (SPDEs) are significant tools for modeling dynamics in many areas including atmospheric sciences and physics.
We propose the Neural Operator with Regularity Structure (NORS) which incorporates the feature vectors for modeling dynamics driven by SPDEs.
We conduct experiments on various of SPDEs including the dynamic Phi41 model and the 2d Navier-Stokes equation.
arXiv Detail & Related papers (2022-04-13T08:53:41Z) - Physics Informed RNN-DCT Networks for Time-Dependent Partial
Differential Equations [62.81701992551728]
We present a physics-informed framework for solving time-dependent partial differential equations.
Our model utilizes discrete cosine transforms to encode spatial and recurrent neural networks.
We show experimental results on the Taylor-Green vortex solution to the Navier-Stokes equations.
arXiv Detail & Related papers (2022-02-24T20:46:52Z) - A Gradient-based Deep Neural Network Model for Simulating Multiphase
Flow in Porous Media [1.5791732557395552]
We describe a gradient-based deep neural network (GDNN) constrained by the physics related to multiphase flow in porous media.
We demonstrate that GDNN can effectively predict the nonlinear patterns of subsurface responses.
arXiv Detail & Related papers (2021-04-30T02:14:00Z) - Physics-informed deep learning for incompressible laminar flows [13.084113582897965]
We propose a mixed-variable scheme of physics-informed neural network (PINN) for fluid dynamics.
A parametric study indicates that the mixed-variable scheme can improve the PINN trainability and the solution accuracy.
arXiv Detail & Related papers (2020-02-24T21:51:53Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.