Fluid sounds, such as splashing and pouring, are ubiquitous and familiar but we lack physically based algorithms to synthesize them in computer animation or interactive virtual environments. We propose a practical method for automatic procedural synthesis of synchronized harmonic bubble-based sounds from 3D fluid animations. To avoid audio-rate time-stepping of compressible fluids, we acoustically augment existing incompressible fluid solvers with particle-based models for bubble creation, vibration, advection, and radiation. Sound radiation from harmonic fluid vibrations is modeled using a time-varying linear superposition of bubble oscillators. We weight each oscillator by its bubble-to-ear acoustic transfer function, which is modeled as a discrete Green's function of the Helmholtz equation. To solve potentially millions of 3D Helmholtz problems, we propose a fast dual-domain multipole boundary-integral solver, with cost linear in the complexity of the fluid domain's boundary. Enhancements are proposed for robust evaluation, noise elimination, acceleration, and parallelization. Examples of harmonic fluid sounds are provided for water drops, pouring, babbling, and splashing phenomena, often with thousands of acoustic bubbles, and hundreds of thousands of transfer function solves.

A Physics-Informed Neural Network (PINN) framework for solving partial differential equations (PDEs) with FastAPI integration. This project implements PINNs for various physical systems including simple harmonic motion, heat transfer, wave propagation, and fluid dynamics. The framework provides a modular architecture for training.

Modular open-source marine purification platform integrating ambient energy harvesting, non-chemical oil–water separation, and advanced harmonic-fluidic control systems. Optimized for autonomous large-area deployment, zero ecological impact, and full telemetry-supported operation.

Real-time pose-driven fluid simulation in the browser. Based on Stam's Stable Fluids with Harmonic Function Mapping.

Set of introductory pedagogical codes for computational chemistry that include MD and MC algorithms for a harmonic oscillator, MD for lennard jones fluid, and a Hartree Fock algorithm

This was just a proof of concept to try and see if fluid harmonics behaved similar to general wave patterns, in an attempt to filter out water hammer from pressure data using Fourier Transform and frequency filtering.

We consider a falling elastic ball in a Newtonian fluid and model its movement via a variational monolithic formulation in the Arbitrary Lagrangian Eulerian Framework. To construct the ALE mapping, we utilize a harmonic mesh motion PDE with control parameter. The implementation is realized with the finite element library deal.II.