PATENT CLAIM ANALYSIS

Application Number: 15989253
Application Type: Utility
Filing Date: 2018-05
Publication Date: 2019-07
Patent Classification: ["703", "009000"]

Abstract:
An improved computer implemented method for modeling transport processes in fluids is disclosed. Instead of modeling based on using an infinitesimal fluid element of a continuous medium, the method approximates fluid flow in a fluid system as a model gas flow in a model gas system being identical to the fluid system. The method is adapted to model gas flow including dilute gas flow for high Knudsen numbers (Kn). The method delivers a new basis for prediction of dynamic evolution of the model gas system by considering a pre-established or known dynamic history of the system during a pre-initial period. A new generation of Computational Fluid Dynamics software products, which are based on the disclosed analytical tools and methods, are anticipated having capability to modeling gases from the continuum flow regime (Kn<0.01) to the free molecular flow regime (Kn>10), considerably higher accuracy of prediction, and lower computation cost.

Claim (Index 13):
The method of  claim 8 , wherein the step of defining the net rate of total property influx per unit volume from the surrounding model gas, in a three-dimensional configuration further comprises a step of formulating the net rate of total property influx as B in \u03a8\u03bb_ \ue89e F \ue8a0 ( r \u2192 , t ) = - \u2207 \u00b7 \u222b \u222b \u222b V \ue89e 1 4 \ue89e \u03c0 \ue89e 1 \uf603 r \u2192 - r \u2192 i c \uf604 2 \ue89e Q i \ue8a0 ( t , t i \u2032 ) \ue89e Z V \ue8a0 ( t i \u2032 , r \u2192 \u2032 ) \ue89e v \u2192 \ue8a0 ( t i \u2032 , r \u2192 \u2032 , t , r \u2192 ) v T \ue8a0 ( t i \u2032 , r \u2192 \u2032 ) \ue89e \u03a8 in \ue8a0 ( t i \u2032 , r \u2192 \u2032 , t , r \u2192 ) \ue89e dV \u2032 , wherein \u2207 = \u03b9 \u2192 \ue89e \u2202 \u2202 x + J \u2192 \ue89e \u2202 \u2202 y + k \u2192 \ue89e \u2202 \u2202 z is the divergence operator in three-dimensional configuration,\n B in \u03a8\u03bb _ F  is the net rate of total property influx per unit volume from the surrounding model gas, \n t is the given time, \n t i \u2032 is time of original collision, \n {right arrow over (r)} is position of the ending point in one of the plurality of points of ending collisions, \n {right arrow over (r)}\u2032 is position of the starting point in one of the plurality of points of original collisions, \n v T (t i \u2032, {right arrow over (r)}\u2032) is an average magnitude of thermal velocity in the starting point at the time of original collision, \n Z V (t i \u2032, {right arrow over (r)}\u2032) is rate of collisions per unit volume in the starting point at time of original collision, \n {right arrow over (v)}(t i \u2032, {right arrow over (r)}\u2032, t, {right arrow over (r)}) is a velocity vector in the ending point at the given time, \n Q i (t, t i \u2032) is probability of traveling along the ballistic trajectory, \n \u03a8 in (t i \u2032, {right arrow over (r)}\u2032, t, {right arrow over (r)}) is a property value delivered in the ending point at the given time by one of the first plurality of converging ballistic particles, \n V is a volume of integration over space occupied by the model gas, \n {right arrow over (r)} i  is position at the given time of a virtual particle which has zero magnitude of thermal velocity, and \n Z V (t i \u2032, {right arrow over (r)}\u2032) is calculated as\n Z V ( t i \u2032,{right arrow over (r)} \u2032)=\u00bd n ( t i \u2032,{right arrow over (r)} \u2032) P c ( t i \u2032,{right arrow over (r)} \u2032) v rel ( t i \u2032,{right arrow over (r)} \u2032), \n \n where, n(t i \u2032, {right arrow over (r)}\u2032) is particle density, P c (t i \u2032, {right arrow over (r)}\u2032) is an average number of collisions per unit length, and v rel (t i \u2032, {right arrow over (r)}\u2032) is the average magnitude of relative velocity.

Metadata:
- Claim Count in Document: 83.0
- Percentile: 93.0
- Lexical Diversity: 1.78723
- Patent Class: 703.0
- Transitional Phrase Type: none
- Component Type: 0
- Foreign Priority: False
- Related Applications: ['11398982', '13483676', '12414978', '11318171', '12346899']

Analysis Scores:
- 35 USC 101 Eligibility (BERT): 0.2560743309530132
- 35 USC 102 Novelty (BERT): 0.5116723362828252
- Combined Prediction Score: 0.2816341314859945
- Mean Citation Score: 177.15794799999995
- Max Citation Score: 189.42105
- Similarity Product: 104.7221967553854

Labels:
- Claim Label 101: 1
- Claim Label 102: 1
- Claim Label 103: 1
- Claim Label 112: 1
- Combined Label: 1
- Label 101 Adjusted: 1

Dataset: test