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1-047a-CondensationOptimization-ModelingScenario

Author(s): Chris McCarthy, Brian Winkel1

SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations

Keywords: simulation data optimization energy condensation best fit cost sum of scquare errors

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Abstract

Resource Image We seek to optimize a condensation process which is modeled by a simulation using the random motion of 200 particles in a 50 by 50 square in which a particle bounces off the two vertical and top walls and condenses on the bottom wall.

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Article Context

Resource Type
Differential Equation Type
Technique
Qualitative Analysis
Application Area
Course
Course Level
Lesson Length
Technology
Approach
Skills
Key Scientific Process Skills
Assessment Type
Pedagogical Approaches
Vision and Change Core Competencies - Ability
Principles of How People Learn
Bloom's Cognitive Level

Description

The model is a differential equation in which parameters need to be estimated. We seek to determine the optimal step size so as to attain 90% condensation level while minimizing costs associated with duration of the process and energy costs associated with varying the step size.

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Authors

Author(s): Chris McCarthy, Brian Winkel1

SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations

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