Method and system for coordinate transformation to model radial flow near a singularity
Patent 7149671 Issued on December 12, 2006. Estimated Expiration Date: June 29, 2021. Estimated Expiration Date is calculated based on simple USPTO term provisions. It does not account for terminal disclaimers, term adjustments, failure to pay maintenance fees, or other factors which might affect the term of a patent.
703/9, Fluid702/6, Well logging or borehole study703/2, MODELING BY MATHEMATICAL EXPRESSION715/821, Emphasis174/69, Extensible606/5, Recurving or reshaping of the eye382/294, Registering or aligning multiple images to one another367/38, Signal analysis and/or correction703/10, Well or reservoir702/159, By reflected signal (e.g., ultrasonic, light, laser)600/33REPRODUCTION AND FERTILIZATION TECHNIQUES
A method and system for predicting the behavior of a physical system are disclosed. One embodiment of the method of this invention comprises the steps of creating an equation in a first coordinate system to model an aspect of the physical system; applying a coordinate transformation to the equation to transform the equation from the first coordinate system into a second coordinate system more closely representative of an analytical solution to the equation; solving the equation in the second coordinate system to obtain a solution; transforming the solution back to the first coordinate system; creating a second equation in the first coordinate system to model a second aspect of the physical system; solving the second equation in the first coordinate system to obtain a solution to the second equation; and combining the mapped solution to the first equation and the solution to the second equation in the first coordinate system to obtain a combined solution. One embodiment of the system of this invention comprises a computer-readable medium containing a plurality of instructions embodying the above method.
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