US 7,610,183 B2Granted

Multiphase physical transport modeling method and modeling system

AssigneeBoard of Regents of the University and Community College System of Nevada on behalf of the University of Nevada

InventorGeorge Danko

Life of this patent

Estimating the term…

Loading patent…

Abstract

A general, computational-mathematical modeling method for the solution of large, boundary-coupled transport problems involving the flow of mass, momentum, energy or subatomic particles is disclosed. The method employs a modeling processor that extracts a matrix operator equation (or set of equations) from a numerical transport code (NTC). The outputs of software codes, available for modeling physical problems governed by conservation laws in the form of differential equations, can be processed into closed-form operator equations with the method. Included is a numerical transport code functionalization (NTCF) model which can be determined numerically, based on a system of solutions of an NTC, evaluating outputs for a given set of inputs. The NTCF model is a linear or nonlinear, multi-variable operator equation or set of such equations. The NTCF model defines relationships between general, time-variable inputs and outputs, some known and some unknown, considered as boundary values. The user of an NTCF model can directly work with the processed model output, instead of running the original numerical code in general applications of a boundary-value problem. The numerical transport code functionalization model can be employed as a surrogate for representing the numerical transport code to provide a solution to the transport problem. The invention enables modeling efficiency and availability to be increased, while computational complexity and cost decreased. Computational times for complex modeling problems can, in some cases, be dramatially reduced, for example by several orders of magnitude.

Claims17

Dependent claims

A computer-implemented method comprising modeling on a computer the time- and space-variable flow of multiple physical entities in a physical transport system, the physical entities comprising at least heat and moisture and the physical transport system comprising at least a solid phase and a gaseous phase, wherein the transport of one of the physical entities in the physical transport system affects the transport of one or more others of the physical entities transported in the physical transport system, the method comprising:

a) providing a numerical transport code running on a computer, the numerical transport code having at least one time-variable input and a time-variable output related to the time-variable input;
b) executing at least one calculation with the numerical transport code using a time- and space-variable input to the numerical transport code, the time- and space-variable input being related to the flow of the multiple physical entities in the physical transport system and obtaining at least one time-variable output response from the numerical transport code;
c) identifying a mathematical functional relationship between the time- and space-variable input to the numerical transport code and the time-variable output response from the numerical transport code wherein the mathematical functional relationship identified comprises a convolution integral and the convolution integral includes a kernel function and the kernel function is identified as the indicial admittance of each of the multiple physical entities and the convolution integral is approximated with a discretized admittance comprising a sum of the product of discrete elements, each discrete element comprising the kernel function represented at one time point or spatial point, the discretized admittance being identified by a new inverse convolution from the discretized values as vectors of at least one given input and one given output;
and
d) generating a functionalized surrogate model of the physical transport system from the mathematical functional relationship identified, the functionalized surrogate model describing the time- and space-variable flow of the multiple physical entities in the physical transport system.

2 more elements

A computer-implemented method comprising modeling on a computer the time- and space-variable flow of multiple physical entities in a physical transport system the physical entities comprising at least heat and moisture and the physical transport system comprising at least a solid phase and a gaseous phase wherein the transport of one of the physical entities in the physical transport system affects the transport of one or more others of the physical entities transported in the physical transport system, the method comprising:

a) providing a numerical transport code running on a computer, the numerical transport code having at least one time-variable input and a time-variable output related to the time-variable input;
b) executing at least one calculation with the numerical transport code using a time- and space-variable input to the numerical transport code, the time- and space-variable input being related to the flow of the multiple physical entities in the physical transport system and obtaining at least one time-variable output response from the numerical transport code;
c) identifying a mathematical functional relationship between the time- and space-variable input to the numerical transport code and the time-variable output response from the numerical transport code wherein the mathematical functional relationship identified comprises a convolution integral and the convolution integral includes a kernel function and the kernel function is identified as the indicial admittance of each of the multiple physical entities, the mathematical functional relationship comprising a simplified Volterra series formulation comprising multiple terms for nonlinear processes, each term of the Volterra series formulation having a convolution integral or having the product of multiple convolution integrals;
and
d) generating a functionalized surrogate model of the physical transport system from the mathematical functional relationship identified, the functionalized surrogate model describing the time- and space-variable flow of the multiple physical entities in the physical transport system.

2 more elements

Dependencies are inferred from the claim text.

Facts

Application: 10/881,135Filed 30 Jun 2004
Published: US 2005/0049838 A13 Mar 2005
Granted: 27 Oct 2009
Term ends: Not estimatedThe source records don’t support an estimate.

Classification5 codes

G06F 17/13
For solving equations , e.g. nonlinear equations, general mathematical optimization problems: differential equations
G06F 30/23
Design optimisation, verification or simulation: using finite element methods [FEM] or finite difference methods [FDM]
G06F 2111/10
Details relating to CAD techniques: numerical modelling
G06F 2119/08
Details relating to the type or aim of the analysis or the optimisation: thermal analysis or thermal optimisation

Family

US 2005/0049838 A1Pre-grant publication · published 3 Mar 2005
US 7,610,183 B2This patent

From the US filing history. Foreign family members aren’t listed.

Timeline

Citations

Open elsewhere

Building an agent or pulling many patents? Use the API or MCP server instead of scraping pages. Get an API key