Laminar Flows on akenji's lab

Differences in governing equations - Unsteady-state Laminar Flow

Thu, 23 Jan 2025 00:00:00 +0000

Introduction

In my previous post, I summarized the learning and inference results from PINNs for Laminar Flow (laminar flow) in the unsteady state, using the governing equations of ST (Stress Tensor) form. The results were different from those in the referenced paper.

NEW:Unsteady-state Laminar Flow

Tue, 21 Jan 2025 00:00:00 +0000

Introduction.

In previous post, I reproduced the Laminar Flow of the transition state in PINNs using the governing equations of the VP form with reference to the paper, but the results were very different from the values in the reference paper. This time, I also performed it with the governing equations of ST form, and I will summarize the results in this post.

Unexplained results - Unsteady-state Laminar Flow

Wed, 15 Jan 2025 00:00:00 +0000

Introduction

I recently posted what was obtained by PINNs for steady-state laminar flow. This time, I applied the PINNs method to unsteady laminar flows. The results of this time are not correct and different from the results of the referenced paper. I am investigating the cause, but I do not know.

PINNs 〜 Steady-state Laminar Flow

Sat, 11 Jan 2025 00:00:00 +0000

Introduction

I have been trying to simulate steady state laminar flows with PINNs since the end of last year, but I was stumped by the derivation of the Navier Stokes (NS) equations of Cauchy stress tensor type. I coded PINNs with the governing equations based on the Velocity-pressure type NS equations. I got a result that looks like it, and I will summarize it in this post.