Monday, October 23, 2023

Lambda Calculus & Iteration Methods for SWMM5, InfoSWMM and ICM SWMM

Emoji-laden table reflecting the SWMM5, InfoSWMM, and ICM SWMM implementations:

Topic ๐Ÿ“˜SWMM5 ๐ŸŒŠInfoSWMM ๐Ÿ”„ICM SWMM ๐ŸŒช️Emoji Illustration ๐ŸŽจ
Successive Under-Relaxation (SUR) ๐Ÿ”„Utilized for solving Node Continuity and Link Momentum/Continuity Equations with up to 8 iterations for convergence before moving to the next time step.(Assumed similar unless specified by InfoSWMM documentation)(Assumed similar unless specified by ICM SWMM documentation)๐Ÿ”„➡️⌛
Lambda Calculus & Iteration Methods ๐Ÿ’นVarious named iteration methods including successive approximation, fixed iteration or Picard Iteration, and Lambda Calculus anchor the study of broad topics in computer science.(Assumed extension or enhancement in InfoSWMM's dynamic wave solution)(Assumed extension or enhancement in ICM SWMM's dynamic wave solution)๐Ÿ’น๐Ÿ”„๐Ÿงฎ
St. Venant Equation ๐Ÿ“ˆUtilized for simulating parameters from different sections of a link when the St. Venant Equation is applied.(Assumed similar unless specified by InfoSWMM documentation)(Assumed similar unless specified by ICM SWMM documentation)๐Ÿ“ˆ๐ŸŒŠ➡️
Normal Flow Equation ๐Ÿ“‰Employed in supercritical flow scenarios or when water surface slope is less than the bed slope of the link, with simulated parameters only from the upstream end.(Assumed similar unless specified by InfoSWMM documentation)(Assumed similar unless specified by ICM SWMM documentation)๐Ÿ“‰๐ŸŒŠ⬆️
Non-Linear Term in Saint Venant Equation ๐ŸŒ€Comprises six components that must balance at each time step for flow equation stability.(Assumed similar unless specified by InfoSWMM documentation)(Assumed similar unless specified by ICM SWMM documentation)๐ŸŒ€⚖️⌛
Flow Equation Components ๐ŸงฉIncludes terms like unsteady flow (dQ/dt), friction loss, bed slope (dz/dx), water surface slope (dy/dx), non-linear term (d(Q^2/A)/dx), and entrance/exit/other loss terms.(Assumed similar unless specified by InfoSWMM documentation)(Assumed similar unless specified by ICM SWMM documentation)๐Ÿงฉ๐Ÿ’ง๐Ÿ“Š

This table outlines the core concepts and methods used in the dynamic wave solution of SWMM5, InfoSWMM, and ICM SWMM, assuming a similar approach across the three unless otherwise specified by their respective documentation. Each version may have its own set of features, enhancements, or differences in the implementation of these methods and equations.

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