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Title: Method for simulating discontinuous physical systems

Abstract

The mathematical foundations of conventional numerical simulation of physical systems provide no consistent description of the behavior of such systems when subjected to discontinuous physical influences. As a result, the numerical simulation of such problems requires ad hoc encoding of specific experimental results in order to address the behavior of such discontinuous physical systems. In the present invention, these foundations are replaced by a new combination of generalized function theory and nonstandard analysis. The result is a class of new approaches to the numerical simulation of physical systems which allows the accurate and well-behaved simulation of discontinuous and other difficult physical systems, as well as simpler physical systems. Applications of this new class of numerical simulation techniques to process control, robotics, and apparatus design are outlined.

Inventors:
 [1];  [1]
  1. (Albuquerque, NM)
Issue Date:
Research Org.:
SANDIA CORP
OSTI Identifier:
873773
Patent Number(s):
6243663
Assignee:
Sandia Corporation (Albuquerque, NM) SNL
DOE Contract Number:  
AC04-94AL85000
Resource Type:
Patent
Country of Publication:
United States
Language:
English
Subject:
method; simulating; discontinuous; physical; systems; mathematical; foundations; conventional; numerical; simulation; provide; consistent; behavior; subjected; influences; result; requires; hoc; encoding; specific; experimental; results; address; replaced; combination; generalized; function; theory; nonstandard; analysis; approaches; allows; accurate; well-behaved; difficult; simpler; applications; techniques; process; control; robotics; apparatus; design; outlined; physical systems; process control; systems provide; experimental results; discontinuous physical; /703/708/

Citation Formats

Baty, Roy S., and Vaughn, Mark R. Method for simulating discontinuous physical systems. United States: N. p., 2001. Web.
Baty, Roy S., & Vaughn, Mark R. Method for simulating discontinuous physical systems. United States.
Baty, Roy S., and Vaughn, Mark R. Mon . "Method for simulating discontinuous physical systems". United States. https://www.osti.gov/servlets/purl/873773.
@article{osti_873773,
title = {Method for simulating discontinuous physical systems},
author = {Baty, Roy S. and Vaughn, Mark R.},
abstractNote = {The mathematical foundations of conventional numerical simulation of physical systems provide no consistent description of the behavior of such systems when subjected to discontinuous physical influences. As a result, the numerical simulation of such problems requires ad hoc encoding of specific experimental results in order to address the behavior of such discontinuous physical systems. In the present invention, these foundations are replaced by a new combination of generalized function theory and nonstandard analysis. The result is a class of new approaches to the numerical simulation of physical systems which allows the accurate and well-behaved simulation of discontinuous and other difficult physical systems, as well as simpler physical systems. Applications of this new class of numerical simulation techniques to process control, robotics, and apparatus design are outlined.},
doi = {},
journal = {},
number = ,
volume = ,
place = {United States},
year = {2001},
month = {1}
}

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