A Flow Solver for Three-Dimensional DRAGON Grids - … · Help Desk at 301–621–0134 ... DRAGON Grid Chimera Grid 0 0.2 0.4 0.6 0.8 1 ... A Flow Solver for Three-Dimensional DRAGON

Meng-Sing LiouGlenn Research Center, Cleveland, Ohio

Yao ZhengTaitech, Inc., Cleveland, Ohio

A Flow Solver for Three-DimensionalDRAGON Grids

NASA/TM—2002-211512

May 2002

https://ntrs.nasa.gov/search.jsp?R=20020063118 2018-07-15T05:29:39+00:00Z

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Meng-Sing LiouGlenn Research Center, Cleveland, Ohio

Yao ZhengTaitech, Inc., Cleveland, Ohio

A Flow Solver for Three-DimensionalDRAGON Grids

NASA/TM—2002-211512

May 2002

National Aeronautics andSpace Administration

Glenn Research Center

Acknowledgments

This work is supported under Turbomachinery and Combustion Technology, managed by Robert Corrigan,NASA Glenn Research Center. We thank R.V. Chima for providing the vane geometry of the annular cascade.

Available from

NASA Center for Aerospace Information7121 Standard DriveHanover, MD 21076

National Technical Information Service5285 Port Royal RoadSpringfield, VA 22100

Available electronically at http://gltrs.grc.nasa.gov/GLTRS

The Aerospace Propulsion and Power Program atNASA Glenn Research Center sponsored this work.

Meng-Sing LiouNational Aeronautics and Space Administration

Glenn Research CenterCleveland, Ohio 44135

Yao ZhengTaitech, Inc.

Cleveland, Ohio 44135

1NASA/TM—2002-211512

constructed to be

alternating

report

2NASA/TM—2002-211512

3NASA/TM—2002-211512

4NASA/TM—2002-211512

5NASA/TM—2002-211512

Structured GridUnstructured Grid

Structured/UnstructuredGrid Interface

L R

n i,jFnl

6NASA/TM—2002-211512

Nodes of Fictitious Structured Grid

Nodes of Unstructured Grid

Nodes of Original Structured Grid

8o

6o

5o

4o

3o

2o

1o

9f

8f

7f

6f

5f

4f

3f

2f

1f

1f 2f 3f 4f 5f 6f 7f 8f

1o 2o 3o 4o 5o 6o 7o

7o

DRAGON Grid Interface

(j, k+1) f

(j, k) f (j+1, k) f

(j+1, k+1) f (j, k) o

Fictitious Structured Grid

Original Structured Grid

DRAGON Grid Interface

Fixing

Node with IBLANK 0

Node with IBLANK 1

7NASA/TM—2002-211512


Unstructured Grid


Interface of DRAGON Grid

Face A Denoted as (j, k; -1)

Face B Denoted as (j, k; 1)

Face A Face B

(j+1, k+1) f

(j+1, k) f

(j, k) o

(j, k+1) f

(j, k) f

(j+1, k+1) f (j, k+1) f (j, k) o

(j, k) f (j+1, k) f

J

KL

(j, k, l)

idir = 1idir = -1

idir = 2

idir = 3

idir = -3

idir = -2

8NASA/TM—2002-211512


Unstructured Grid



Q2

Qb

L L/2

Qgh

Q1

Qgh = Q1


Unstructured Grid



9NASA/TM—2002-211512

iface

nd1

nd2

nd3

nd4

md 4nc1

nc2

Q1Q 2

nd1 nd2

nd3

nd4

Cell Centroid

Face Centroid

∆ r

3 ∆ r

Qf123

Qc

10NASA/TM—2002-211512


Unstructured Grid



Physical Boundary

Contributions to Nodal Value

11NASA/TM—2002-211512


Unstructured Grid


Physical Boundary

Contributions to Nodal Value

Qgh


lapavg = 1, 2 or 3 lapavg = -1 or 0

Distance as Inverse Weight

Qb

Qb Qgh

Qgh=Qb

Qgh

12NASA/TM—2002-211512

1f 2f 3f 4f1o 2o 3o 4o

Unstructured Grid

Interface and Flux

1f 2f 3f 4f 5f 6f 7f 8f

1o 2o 3o 4o 5o 6o 7o

1fl 2fl 3fl 4fl 5fl 6fl6fl

Original grid

Fictitious Grid

Fluxes(Periodic BC)

J

KL

13NASA/TM—2002-211512

Original grid

Fluxesfl(j-2) fl(j-1) flj fl(j+1) fl(j+2)

o(j-2) o(j-1) oj o(j+1) o(j+2) o(j+3)Q

F

Node with IBLANK 0DRAGON Grid Interface

Unstructured Grid

Node with IBLANK 1

Node with IBLANK -1

Physical Boundary

Fictitious Boundary

Unspecified Boundary

14NASA/TM—2002-211512

Nodal Values onDRAGON Grid Interfaces

Fluxes onDRAGON Grid Interfaces

USM3D LibraryOVERFLOW Library

Data ExchangeRoutines

Data ExchangeRoutines

Master Module

15NASA/TM—2002-211512

16NASA/TM—2002-211512

X

Y

Z

rP’ (r, θ )2

P (r, θ )1

θ

θ

k=-1

k=1

XO

17NASA/TM—2002-211512

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19NASA/TM—2002-211512

20NASA/TM—2002-211512

(b)Distance

Pre

ssur

e

(a) Distance

Pre

ssur

e

21NASA/TM—2002-211512

10o

10o

A

B C

D

E

F G

HI

J

K

L

I

J K

L

Embedded Shock

Wedge Shocks

Corner Shock

Shear Lines

22NASA/TM—2002-211512

23NASA/TM—2002-211512

(b)Distance

Den

sity

Mac

h nu

mbe

r

Pre

ssur

e

(a) (c) DistanceDistance

24NASA/TM—2002-211512

Mach = 0.5

IRHS = 3

BIMIN = 1.0

IDISS = 2

1: Inviscid Wall

33: Specified Pressure Outflow

47: Freestream

1

1

47

Boundary Conditions

33

25NASA/TM—2002-211512

26NASA/TM—2002-211512

(b)Distance

Den

sity

Mac

h nu

mbe

r

Pre

ssur

e

(a) (c) DistanceDistance

27NASA/TM—2002-211512

28NASA/TM—2002-211512

29NASA/TM—2002-211512

0

0.2

0.4

0.6

0.8

1

0 0.2 0.4 0.6 0.8 1

Pre

ssur

e

Fraction of Axial Chord

DRAGON GridChimera Grid

0

0.2

0.4

0.6

0.8

1

0 0.2 0.4 0.6 0.8 1

Pre

ssur

eFraction of Axial Chord


0

0.2

0.4

0.6

0.8

1

0 0.2 0.4 0.6 0.8 1

Pre

ssur

e



0

0.2

0.4

0.6

0.8

1

0 0.2 0.4 0.6 0.8 1

Pre

ssur

e



0

0.2

0.4

0.6

0.8

1

0 0.2 0.4 0.6 0.8 1

Pre

ssur

e



0

0.2

0.4

0.6

0.8

1

0 0.2 0.4 0.6 0.8 1

Pre

ssur

e



30NASA/TM—2002-211512

31NASA/TM—2002-211512

Blade Spacing,41.02 mm

Axial Chord,38.23 mm

Chord, 55.52 mm

44.6o

Axial CenterlineRadius,0.89 mm

Radius,5.08 mm

32NASA/TM—2002-211512

33NASA/TM—2002-211512

0.5

0.55

0.6

0.65

0.7

0.75

0.8

0.85

0.9

0.95

1

0 0.2 0.4 0.6 0.8 1

P/P

0


Meas (13.3%)Comp (13.3%)Meas (50.0%)Comp (50.0%)Meas (86.6%)Comp (86.6%)

34NASA/TM—2002-211512

35NASA/TM—2002-211512

37NASA/TM—2002-211512

38NASA/TM—2002-211512

39NASA/TM—2002-211512

40NASA/TM—2002-211512

41NASA/TM—2002-211512

42NASA/TM—2002-211512

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May 2002

NASA TM—2002-211512

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48

A Flow Solver for Three-Dimensional DRAGON Grids

Meng-Sing Liou and Yao Zheng

Computational fluid dynamics; Grid generation; Turbomachinery; Turbine vanes; Cascadeflow; Supersonic flow; Subsonic flow; Viscous flow

Unclassified -UnlimitedSubject Categories: 34 and 61 Distribution: Nonstandard

Meng-Sing Liou, NASA Glenn Research Center, Cleveland, Ohio; and Yao Zheng, Taitech, Inc., Cleveland, Ohio 44135.Responsible person, Meng-Sing Liou, organization code 5880, 216–433–5855.

DRAGONFLOW code has been developed to solve three-dimensional Navier-Stokes equations over a complex geometrywhose flow domain is discretized with the DRAGON grid—a combination of Chimera grid and a collection of unstruc-tured grids. In the DRAGONFLOW suite, both OVERFLOW and USM3D are presented in form of module libraries, anda master module controls the invoking of these individual modules. This report includes essential aspects, programmingstructures, benchmark tests and numerical simulations.

Documents

A Flow Solver for Three-Dimensional DRAGON Grids - … · Help Desk at 301–621–0134 ... DRAGON Grid Chimera Grid 0 0.2 0.4 0.6 0.8 1 ... A Flow Solver for Three-Dimensional DRAGON