Estimation of Required Complexity for Physical-Mathematical Model: Universal Method

摘要

The methodology and exact mathematical calculations of the comparative error of physical-mathematical model that caused only due to finite amount of recorded variables are introduced. This approach allows to reduce time for research and development and to decrease cost of design. The developed concept introduces in the first time a specific metric to estimate the a-priori achievable error for any chosen model before starting computational modeling. Examples of practical application of the considered concept for heat- and mass-transfer processes, measurement of fundamental physical constants and thermal energy storage systems are discussed.