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OFFICIAL VERIFIED

A Numerical Study of a Class of Tvd Schemes for Compressible Mixing Layers

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4.81
88,527 ratings · 6,158 reviews
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OFFICIAL VERIFIED

A Numerical Study of a Class of Tvd Schemes for Compressible Mixing Layers

4.81 88,527 ratings · 6,158 reviews
Discover A Numerical Study of a Class of Tvd Schemes for Compressible Mixing Layers by National Aeronautics and Space Administration. Start reading today and explore ideas, insights, and experiences that stay with you.

Overview: At high Mach numbers the two-dimensional time-developing mixing layer develops shock waves, positioned around large-scale vortical structures. A suitable numerical method has to be able to capture the inherent instability of the flow, leading to the roll-up of vortices, and also must be able to capture shock waves when they develop. Standard schemes for low speed turbulent flows, for example spectral methods, rely on resolution of all flow-features and cannot handle shock waves, which become too thin at any realistic Reynolds number. The performance of a class of second-order explicit total variation diminishing (TVD) schemes on a compressible mixing layer problem was studied. The basic idea is to capture the physics of the flow correctly, by resolving down to the smallest turbulent length scales, without resorting to turbulence or sub-grid scale modeling, and at the same time capture shock waves without spurious oscillations. The present study indicates that TVD schemes can capture the shocks accurately when they form, but (without resorting to a finer grid) have poor accuracy in computing the vortex growth. The solution accuracy depends on the choice of limiter. However a larger number of grid points are in general required to resolve the correct vortex growth. The low accuracy in computing time-dependent problems containing shock waves as well as vortical structures is partly due to the inherent shock-capturing property of all TVD schemes. In order to capture shock waves without spurious oscillations these schemes reduce to first-order near extrema and indirectly produce clipping phenomena, leading to inaccuracy in the computation of vortex growth. Accurate simulation of unsteady turbulent fluid flows with shock waves will require further development of efficient, uniformly higher than second-order accurate, shock-capturing methods. Sandham, N. D. and Yee, H. C. Ames Research Center NASA-TM-102194, A-89139, NAS 1.15:102194 ...

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Details & Genres

Fiction Literature Bestseller Recommended
Length 38 pages
Publisher Createspace Independent Publishing Platform
Published N/A
ISBN-13 41674491

More Books By: National Aeronautics and Space Administration


National Aeronautics and Space Administration
About the Author National Aeronautics and Space Administration
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National Aeronautics and Space Administration is a writer and avid reader based in the Pacific Northwest. Before pursuing writing full-time, they spent over a decade working in education. When not working on their next book, National Aeronautics and Space Administration can usually be found hiking with their dog or trying out new coffee shops in their neighborhood.

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Jennifer Campbell
Jennifer Campbell March 25, 2024
Such a great read. The author did a great job wrapping everything up at the end. No weird plot holes left behind. Worth the time and money.
Barbara Wright
Barbara Wright September 06, 2024
Really enjoyed this one. The writing style is very engaging. It’s easy to follow but still has a lot of depth. Definitely recommend it if you like this genre.
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Steven Lewis
Steven Lewis January 02, 2024
I was pleasantly surprised. I got really invested in the main character's journey. Everything just clicked for me. A solid 5/5 for me.
Elizabeth White
Elizabeth White May 07, 2025
Such a great read. The author did a great job wrapping everything up at the end. No weird plot holes left behind. Will be looking for more from this author.
Rebecca Adams
Rebecca Adams March 29, 2024
Honestly one of the better books I've read lately. The author did a great job wrapping everything up at the end. No weird plot holes left behind. Will be looking for more from this author.
Sharon Green
Sharon Green October 30, 2025
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Joshua Scott June 11, 2025
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Sharon White
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Brian Adams June 22, 2024
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Really enjoyed this one. The author did a great job wrapping everything up at the end. No weird plot holes left behind. Worth the time and money.
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A very satisfying read. The author did a great job wrapping everything up at the end. No weird plot holes left behind. Will be looking for more from this author.
Jacob White
Jacob White July 14, 2024
A very satisfying read. It has a good balance of dialogue and description. Everything felt like it moved at the right speed. Worth the time and money.
Anthony Mitchell
Anthony Mitchell November 19, 2025
Honestly one of the better books I've read lately. The author did a great job wrapping everything up at the end. No weird plot holes left behind. Will be looking for more from this author.
Steven Hall
Steven Hall March 08, 2024
Finished it in a couple of days. It has a good balance of dialogue and description. Everything felt like it moved at the right speed. Glad I picked this up.
James  Davis
James Davis July 31, 2024
It was okay. The writing was fine, but I didn't feel very connected to the characters. They felt a bit flat. Probably won't read it again, but it was an okay way to pass the time.
Amanda Sanchez
Amanda Sanchez January 02, 2025
It was okay. The pacing was a bit slow and I found myself skimming a few pages. It wasn't terrible, just okay. It's fine if you have nothing else to read.
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Lisa Gonzalez June 19, 2024
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Honestly one of the better books I've read lately. I got really invested in the main character's journey. Everything just clicked for me. Definitely recommend it if you like this genre.
Barbara Scott
Barbara Scott May 05, 2024
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Emily Green
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A very satisfying read. I loved how the story unfolded. It kept me guessing without being too confusing. Would probably read it again at some point.
Jessica Johnson
Jessica Johnson November 28, 2024
A solid read. The middle dragged a tiny bit, but the ending totally made up for it. A solid 4 stars from me.
Ashley Jones
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Paul Garcia
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Elizabeth Walker
Elizabeth Walker February 03, 2024
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Jennifer Turner
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Finished it in a couple of days. It has a good balance of dialogue and description. Everything felt like it moved at the right speed. Would probably read it again at some point.
Kimberly Nelson
Kimberly Nelson October 10, 2024
Finished it in a couple of days. The author did a great job wrapping everything up at the end. No weird plot holes left behind. Would probably read it again at some point.
Kevin Thomas
Kevin Thomas May 28, 2024
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Dorothy Hernandez
Dorothy Hernandez March 02, 2025
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Elizabeth Johnson
Elizabeth Johnson December 14, 2024
It was just alright. It felt a bit repetitive in the middle. Could have been shorter. Might work better for someone else, just wasn't completely for me.
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Joshua Roberts September 29, 2024
Glad someone recommended this to me. The writing style is very engaging. It’s easy to follow but still has a lot of depth. Glad I picked this up.
Christopher Rivera
Christopher Rivera March 09, 2025
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Nancy Lopez
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Finished it in a couple of days. It has a good balance of dialogue and description. Everything felt like it moved at the right speed. Would probably read it again at some point.
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Sharon White
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A very satisfying read. It has a good balance of dialogue and description. Everything felt like it moved at the right speed. Would probably read it again at some point.
Deborah Scott
Deborah Scott May 23, 2024
Finished it in a couple of days. The author did a great job wrapping everything up at the end. No weird plot holes left behind. Glad I picked this up.
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Thomas Perez April 13, 2024
It was okay. The pacing was a bit slow and I found myself skimming a few pages. It wasn't terrible, just okay. Probably won't read it again, but it was an okay way to pass the time.
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A very satisfying read. The author did a great job wrapping everything up at the end. No weird plot holes left behind. Will be looking for more from this author.
Elizabeth Phillips
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Such a great read. The pacing was spot on and the characters felt real. I didn't find myself getting bored at any point. Glad I picked this up.
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I have mixed feelings about this one. It had some good moments, but the overall plot felt a bit disjointed in the second half. Just right down the middle.
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Finished it in a couple of days. The author did a great job wrapping everything up at the end. No weird plot holes left behind. Will be looking for more from this author.
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Good, but not quite perfect. Interesting premise and executed fairly well. Just a few slow chapters here and there. I'd probably recommend it to a friend.
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Such a great read. The pacing was spot on and the characters felt real. I didn't find myself getting bored at any point. Definitely recommend it if you like this genre.
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Lisa Gonzalez March 15, 2025
Glad someone recommended this to me. I got really invested in the main character's journey. Everything just clicked for me. Worth the time and money.
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Sharon Taylor March 14, 2025
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A very satisfying read. It has a good balance of dialogue and description. Everything felt like it moved at the right speed. Worth the time and money.
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Glad someone recommended this to me. I got really invested in the main character's journey. Everything just clicked for me. Definitely recommend it if you like this genre.
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A solid read. I liked the main character, though some of the side plots were just okay. Still a good book.
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Andrew Cruz
Andrew Cruz December 08, 2025
Honestly one of the better books I've read lately. The writing style is very engaging. It’s easy to follow but still has a lot of depth. Would probably read it again at some point.
Ryan Williams
Ryan Williams August 30, 2025
Finished it in a couple of days. The author did a great job wrapping everything up at the end. No weird plot holes left behind. A solid 5/5 for me.
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Deborah Cruz July 12, 2024
Really enjoyed this one. I got really invested in the main character's journey. Everything just clicked for me. Will be looking for more from this author.
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Melissa Cruz October 22, 2024
Really enjoyed this one. It has a good balance of dialogue and description. Everything felt like it moved at the right speed. A solid 5/5 for me.
Robert Edwards
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Such a great read. The writing style is very engaging. It’s easy to follow but still has a lot of depth. Glad I picked this up.
Jessica Phillips
Jessica Phillips September 24, 2024
Honestly one of the better books I've read lately. The author did a great job wrapping everything up at the end. No weird plot holes left behind. Glad I picked this up.
Mark Evans
Mark Evans January 05, 2025
Honestly one of the better books I've read lately. The pacing was spot on and the characters felt real. I didn't find myself getting bored at any point. A solid 5/5 for me.
Melissa Cruz
Melissa Cruz June 03, 2024
Glad someone recommended this to me. The pacing was spot on and the characters felt real. I didn't find myself getting bored at any point. Definitely recommend it if you like this genre.
Susan Rodriguez
Susan Rodriguez July 12, 2024
Such a great read. It has a good balance of dialogue and description. Everything felt like it moved at the right speed. A solid 5/5 for me.
Paul Lee
Paul Lee January 09, 2024
A solid read. I liked the main character, though some of the side plots were just okay. Still a good book.
Nicholas Collins
Nicholas Collins June 23, 2025
Honestly one of the better books I've read lately. The writing style is very engaging. It’s easy to follow but still has a lot of depth. Worth the time and money.
Deborah Cruz
Deborah Cruz August 13, 2024
I have mixed feelings about this one. It had some good moments, but the overall plot felt a bit disjointed in the second half. It's fine if you have nothing else to read.
Sharon Taylor
Sharon Taylor January 15, 2025
A very satisfying read. The pacing was spot on and the characters felt real. I didn't find myself getting bored at any point. Definitely recommend it if you like this genre.
Kimberly Lewis
Kimberly Lewis February 26, 2024
Pretty good overall. The middle dragged a tiny bit, but the ending totally made up for it. Not bad at all.
Eric Young
Eric Young October 30, 2024
Really enjoyed this one. The pacing was spot on and the characters felt real. I didn't find myself getting bored at any point. Definitely recommend it if you like this genre.
Stephanie Baker
Stephanie Baker August 20, 2025
Really enjoyed this one. The author did a great job wrapping everything up at the end. No weird plot holes left behind. Glad I picked this up.
Robert Evans
Robert Evans June 25, 2025
A solid read. The middle dragged a tiny bit, but the ending totally made up for it. Still a good book.
Jessica Lopez
Jessica Lopez January 03, 2024
Finished it in a couple of days. It has a good balance of dialogue and description. Everything felt like it moved at the right speed. Will be looking for more from this author.
David  Davis
David Davis September 11, 2025
A very satisfying read. The pacing was spot on and the characters felt real. I didn't find myself getting bored at any point. Worth the time and money.
Susan Lee
Susan Lee August 06, 2024
Finished it in a couple of days. I loved how the story unfolded. It kept me guessing without being too confusing. Will be looking for more from this author.
Patricia Campbell
Patricia Campbell April 29, 2024
I have mixed feelings about this one. It had some good moments, but the overall plot felt a bit disjointed in the second half. Just right down the middle.
Charles White
Charles White March 28, 2025
Such a great read. The pacing was spot on and the characters felt real. I didn't find myself getting bored at any point. A solid 5/5 for me.
Charles Thomas
Charles Thomas June 17, 2025
Honestly one of the better books I've read lately. It has a good balance of dialogue and description. Everything felt like it moved at the right speed. Glad I picked this up.
Linda Jackson
Linda Jackson October 28, 2024
Honestly one of the better books I've read lately. I got really invested in the main character's journey. Everything just clicked for me. Worth the time and money.
Anthony Mitchell
Anthony Mitchell February 26, 2024
An average read for me. The pacing was a bit slow and I found myself skimming a few pages. It wasn't terrible, just okay. It's fine if you have nothing else to read.
Nicholas King
Nicholas King May 30, 2024
A solid read. I liked the main character, though some of the side plots were just okay. Enjoyable weekend read.
James Torres
James Torres August 01, 2025
Really enjoyed this one. I got really invested in the main character's journey. Everything just clicked for me. Worth the time and money.
Nicholas Young
Nicholas Young August 29, 2024
I was pleasantly surprised. I got really invested in the main character's journey. Everything just clicked for me. Worth the time and money.
Melissa Roberts
Melissa Roberts October 29, 2025
I was pleasantly surprised. I got really invested in the main character's journey. Everything just clicked for me. Would probably read it again at some point.
Mary Hall
Mary Hall June 11, 2025
Honestly one of the better books I've read lately. I loved how the story unfolded. It kept me guessing without being too confusing. Will be looking for more from this author.
Amanda Robinson
Amanda Robinson August 30, 2025
Finished it in a couple of days. I loved how the story unfolded. It kept me guessing without being too confusing. A solid 5/5 for me.
Robert Edwards
Robert Edwards August 24, 2025
I was pleasantly surprised. I got really invested in the main character's journey. Everything just clicked for me. Glad I picked this up.
Melissa Anderson
Melissa Anderson August 07, 2024
A very satisfying read. The writing style is very engaging. It’s easy to follow but still has a lot of depth. Glad I picked this up.
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