Pradeep S Gopalakrishnan

US Patent:

20200210539, Jul 2, 2020

Filed:

Dec 31, 2018

Appl. No.:

16/236799

Inventors:

- Johnston RI, US
Raoyang Zhang - Burlington MA, US
Pradeep Gopalakrishnan - Woburn MA, US

International Classification:

G06F 17/50
G01P 5/00
G06N 7/08

Abstract:

Computer implemented techniques for simulating a fluid flow about a surface of a solid, include receiving a coordinate system for representation of a curvilinear mesh that conforms to the surface of the solid, simulating, with a lattice velocity set transport of particles in a volume of fluid, with the transport causing collision among the particles, executing a distribution function for transport of the particles, with the distribution function including a particle collision determination and a change in particle distribution associated with the curvilinear mesh, performing by the computing system, advection operations in the coordinate system under constraints applied to particle momentum values and mapping by the computer system values resulting from simulating onto the curvilinear mesh by translation of the particle momentum values and spatial coordinates determined in the coordinate system into momentum and spatial values in the curvilinear space.

US Patent:

20200019662, Jan 16, 2020

Filed:

Sep 24, 2019

Appl. No.:

16/580059

Inventors:

- Johnston RI, US
Raoyang Zhang - Burlington MA, US
Pradeep Gopalakrishnan - Woburn MA, US

International Classification:

G06F 17/50
G06F 17/18
G06F 17/11

Abstract:

A method comprising: simulating, in a lattice velocity set, movement of particles in a volume of fluid, with the movement causing collision among the particles; based on the simulated movement, determining relative particle velocity of a particle at a particular location within the volume, with the relative particle velocity being a difference between (i) an absolute velocity of the particle at the particular location within the volume and measured under zero flow of the volume, and (ii) a mean velocity of one or more of the particles at the particular location within the volume; and determining, based on the relative particle velocity, a non-equilibrium post-collide distribution function of a specified order that is representative of the collision.

US Patent:

20170124232, May 4, 2017

Filed:

Jan 10, 2017

Appl. No.:

15/402732

Inventors:

- Burlington MA, US
Raoyang Zhang - Burlington MA, US
Pradeep Gopalakrishnan - Woburn MA, US

International Classification:

G06F 17/50
G06F 17/18
G06F 17/11

Abstract:

A method comprising: simulating, in a lattice velocity set, movement of particles in a volume of fluid, with the movement causing collision among the particles; based on the simulated movement, determining relative particle velocity of a particle at a particular location within the volume, with the relative particle velocity being a difference between (i) an absolute velocity of the particle at the particular location within the volume and measured under zero flow of the volume, and (ii) a mean velocity of one or more of the particles at the particular location within the volume; and determining, based on the relative particle velocity, a non-equilibrium post-collide distribution function of a specified order that is representative of the collision.

US Patent:

20150356217, Dec 10, 2015

Filed:

Aug 19, 2015

Appl. No.:

14/829933

Inventors:

- Burlington MA, US
Raoyang Zhang - Burlington MA, US
Pradeep Gopalakrishnan - Woburn MA, US

International Classification:

G06F 17/50

Abstract:

A method comprising: simulating, in a lattice velocity set, movement of particles in a volume of fluid, with the movement causing collision among the particles; based on the simulated movement, determining relative particle velocity of a particle at a particular location within the volume, with the relative particle velocity being a difference between (i) an absolute velocity of the particle at the particular location within the volume and measured under zero flow of the volume, and (ii) a mean velocity of one or more of the particles at the particular location within the volume; and determining, based on the relative particle velocity, a non-equilibrium post-collide distribution function of a specified order that is representative of the collision.