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Streamwise periodic flow solver with iso-thermal boundaries in SU2.

3rd Annual SU2 Conference

September 5 - 7, 2022

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Nitish Anand, Carlo de Servi

ETE-THES, VITO, EnergyVille.

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Motivation & Background

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Why a periodic flow solver?

Reduced-order Modeling

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Periodic Flow Solver in SU2

Momentum and Mass Equations

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5/09/2022

https://su2code.github.io/docs_v7/Streamwise-Periodicity

@TobiKattmann

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Periodic Flow Solver in SU2

Energy Equation

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Turbulent source term

(Kattmann, 2021)

Laminar source term

 

Only one side of the HEX 🡪 Boundary Condition needed!

Constant heat flux @ walls

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Periodic Flow Solver in SU2

Energy Equation

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Only one side of the HEX 🡪 Boundary Condition needed!

Constant heat flux @ walls

  • Heat sinks
  • Thermally balanced HEXs �(e.g recuperators)

temperature

length

Counterflow + Ch = Cc

Constant T @ walls

  • Condensers & Evaporators
  • HEXs where Ch >> Cc or viceversa

temperature

length

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Streamwise Periodic Energy Equation for Isothermal Walls

Derivation

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Boundary Condition: Iso-thermal Wall

Temperature periodicity

Observation:

Exponential decay of mean T

 

 

 

Suitable temperature scaling

(Patankar, �1977)

 

 

 

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Boundary Condition: Iso-thermal Wall

 

Suitable temperature scaling

Energy Equation

Turbulent source terms

(original contribution)

Laminar source terms

(same as that of Buckinx, 2017,

Stalio et Al.)

 

 

 

 

 

Temperature periodicity

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Boundary Condition: Iso-thermal Wall

 

Suitable temperature scaling

Energy Equation

 

 

 

 

 

Temperature periodicity

 

 

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Preliminary Results

3

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Code Verification

Laminar Regime

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Code Verification

Adjoint gradients

Laminar Regime (Re = 100)

Turbulent Regime (Re = 5000)

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Conclusions & Way Forward

4

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Conclusions and Perspective

  • Implementation of periodic flow solver for iso-thermal walls in SU2 accomplished

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  • Code verified for laminar flow regime

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  • Setting up high-fidelity flow solver for verification study in turbulent regime in progress

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  • Optimization framework using SU2 in near future

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LES - Teaser

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Thank you!

Dr.ir. Nitish Anand

nitish.anand@vito.be

Dr.ir. Carlo de Servi

carlo.deservi@vito.be

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References

1. T. Kattmann, “Streamwise periodic boundary conditions in SU2.” Unpublished notes (2021).

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2. S. Patankar, C. Liu, and E. M. Sparrow, “Fully developed flow and heat transfer in ducts having streamwise-periodic variations of cross-sectional area.” J. Heat Transf. 99, 180–187 (1977).

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3. G. Buckinx, “Macro-scale flow and heat transfer in systems with periodic solid structures.” PhD Thesis, KU Leuven (2017).

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4. E. Stalio and M. Piller, “Direct numerical simulation of heat transfer in converging-diverging wavy channels.” J. Heat Transf. 129, 769–777 (2007).

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