# Introduction to STELLA - ?· Introduction to STELLA Structural Thinking Experiential Learning Laboratory…

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21-Sep-2018

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• Introduction toSTELLA

Structural Thinking Experiential LearningLaboratory with Animation

Commerical ProductsGraphical Interface Differential Equation Solvers (GIDES)

PStella< Free run-time version

PBerkeley Madonna< Free run-time version< Solves stiff differential equations

Stella InterfaceStella Layers Modeling

PConstructModel usingBuilding Blocks,Tools, Objects

POutputs

Map/Model ToggleChange to P2 (or else!)

Run Controller

• Stella InterfaceStella Layers Mapping

PTextPOutput Tables

and GraphsP Input using

Slides andDials

PPicturesPQuick Time

Movies

Stella InterfaceStella Layers Equation

P Initial Values ofStocks

PConnectorInformation

PDifferentialEquationsRepresentingthe TimeDependence ofStocks

• Stella InterfaceBuilding Blocks Stocks

Value Undergoing a Change

Stella InterfaceBuilding Blocks Flow

Change of Stock with Respect to Time

Stella InterfaceBuilding Blocks Converter

ConstantsTransformation Equations

• Stella InterfaceBuilding Blocks Connectors

Stella InterfaceTools Hand

General Purpose Editing ToolCursor Pointer

Stella InterfaceTools Dynamite

Delete (No Undo)

Graphing Results

• Solving of Differential EquationsTaylor Series

Solving of Differential EquationsEuler Method

First 2 terms

• Solving of Differential EquationsRunge-Kutta 2

First 3 Terms

Solving of Differential EquationsRunge-Kutta 4

First 5 Terms

Simple Model Falling CalculatorSystem

y = heightyN = velocity = (acceleration)(time)yO = acceleration = g = 9.8 m s-2

• Simple Model Falling CalculatorStella Model

• Simple Model Falling CalculatorStella Model Equation Layer

• dCdt

kC

C Ckt

o

=

= +

2

1 1

Simple Model Falling CalculatorStella Model Accuracy

PAir FrictionPBounce

Chemical KineticsSure looked like a natural fit to me!!

Kinetics ModelDimerization of Cyclopentadiene2nd Order Diels-Alder Reaction

2

• Kinetics Model

• Michaelis-MentonLen Soltzberg (Simmons College)

E + S (ES)

(ES) 6 P + E

• Oscillating ReactionsCriteria

PTwo or more coupled reactionsPAutocatalytic

• Oscillating ReactionsBriggs-Rauscher

PH2O2PKIO3 and H2SO4PHOOCCH2COOH, MnSO4, starch

~15 s for each cycle

Oscillating ReactionsBelousov-Zhabotinskii

P 18 reversible stepsP 21 different chemical species

BrO3- + HBrO2 + H3O+ 6 2 BrO2 + 2 H2O

2 BrO2 + 2 Ce3+ + 2 H3O+ 6 2 HBrO2 + 2 Ce4+ + 2 H2O

• A + Y 6 X + PX + Y 6 2PA + X 6 2X + 2Z2X 6 A + PB + Z 6 (f/2) Y

whereA = BrO3-X = HBrO2Z = Ce4+P = HOBrB = organicY = Br -

Oregonator by Len Soltzberg (Simmons College)

• Other ApplicationsRod Schluter (Formerly of CofC)

Acid/Base Equilibrium

H+ + OH- 6 H2O

• D Tu

xe

dxD x( / ) = 3

133

( )

( )[ ]

U U RTD

C R Du

e

S R D e

A U RT e D

v u

u

u

=

=

=

=

0

0

3

3 4 31

343

1

3 1

ln

ln

Other ApplicationsDebye Theory for Monatomic Crystals