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Subfield · Engineering

Computational Mechanics research

Computational Mechanics is a subfield of Engineering. Science Explorer counts 866k research works in it since 1950. 18.0% of them reached the world's top 10% most cited for their field and year.

In short: discipline concerned with the use of computational methods to study mechanics.

Research works
866k
fractional, since 1950
In the world top 10%
156k
per year above
Top-10% rate
18.0%
share of its works in the world top 10%
Topics
30
Growth, 2013–17 → 2018–22
+11%
the tick is no change

What is Computational Mechanics research about, and what is growing?

By the world's output in 2019–23, its most used keywords are Heat Transfer, Fluid-Structure Interaction, Large-Eddy Simulation, Turbulent Flows, Numerical Simulation, Fluid Mechanics. Gaining share since 2009–13: Flow Control, Vortex-Induced Vibrations, Numerical Simulation, Drop Impact, Level Set Method. Losing share: Finite Elements, NURBS, Engineering.

▲ gaining share of this field◆ holding its share▼ losing share

Size is the world's fractional works in 2019–23 in the topics tagged with each word; colour compares the word's share of this field with 2009–13. Each links to the topic it comes from most.

All 40 words, with their numbers
  1. Heat Transfer48k▲ 1.23×7 topics
  2. Fluid-Structure Interaction35k◆ 1.05×5 topics
  3. Large-Eddy Simulation30k▲ 1.17×2 topics
  4. Turbulent Flows24k▲ 1.22×2 topics
  5. Numerical Simulation22k▲ 1.38×4 topics
  6. Fluid Mechanics20k▲ 1.19×2 topics
  7. Particle Image Velocimetry20k▲ 1.19×1 topic
  8. Vortex Dynamics20k▲ 1.19×1 topic
  9. Multiphase Flow17k▲ 1.22×3 topics
  10. Adaptive Mesh Refinement16k◆ 0.95×2 topics
  11. High-Order Schemes16k◆ 0.95×2 topics
  12. Fluid Dynamics14k▲ 1.19×3 topics
  13. Surface Tension10k▲ 1.22×2 topics
  14. Combustion Instabilities10k◆ 1.12×1 topic
  15. Turbulent Flames10k◆ 1.12×1 topic
  16. Shock-Wave Interactions10k◆ 1.00×1 topic
  17. Turbulence Modeling10k◆ 1.00×1 topic
  18. Porous Media9,300▲ 1.22×2 topics
  19. Thermal Management9,275◆ 1.11×2 topics
  20. Flow Control9,194▲ 1.42×1 topic
  21. Vortex-Induced Vibrations9,194▲ 1.42×1 topic
  22. Gas-Solid Flow9,127◆ 1.03×2 topics
  23. Compressed Sensing7,591▲ 1.24×1 topic
  24. Sparse Representation7,591▲ 1.24×1 topic
  25. SPH Method7,297▲ 1.32×1 topic
  26. Smoothed Particle Hydrodynamics7,297▲ 1.32×1 topic
  27. Drop Impact6,876▲ 1.38×1 topic
  28. Level Set Method6,876▲ 1.38×1 topic
  29. Pressure Drop6,605◆ 1.09×2 topics
  30. Immersed Boundary Method6,521▲ 1.22×1 topic
  31. Lattice Boltzmann Method6,521▲ 1.22×1 topic
  32. Discontinuous Galerkin Methods6,185◆ 0.88×1 topic
  33. Finite Element Methods6,185◆ 0.88×1 topic
  34. Renewable Energy6,094◆ 1.05×2 topics
  35. Femtosecond Laser6,029◆ 1.04×1 topic
  36. Micromachining6,029◆ 1.04×1 topic
  37. Finite Elements5,752▼ 0.64×1 topic
  38. NURBS5,752▼ 0.64×1 topic
  39. Engineering5,657▼ 0.69×2 topics
  40. Materials Science5,505◆ 0.97×1 topic

Which countries lead Computational Mechanics research?

On research quality in 2022–2025, China, the United States and the United Kingdom rank highest in Computational Mechanics. By volume, China and the United States publish the most (39k and 15k works in 2022–2025).

By research quality, 2022–2025

  1. 1 China · #2 all time 20.5% top 10% · 39k works
  2. 2 United States · #1 all time 14.5% top 10% · 15k works
  3. 3 United Kingdom · #3 all time 20.0% top 10% · 3.7k works
  4. 4 Germany · #4 all time 10.0% top 10% · 8.4k works
  5. 5 India · #11 all time 12.8% top 10% · 8.5k works
  6. 6 France · #5 all time 12.9% top 10% · 4.5k works
  7. 7 Italy · #7 all time 18.7% top 10% · 2.7k works
  8. 8 Hong Kong · #19 all time 32.0% top 10% · 841 works
  9. 9 Japan · #6 all time 9.4% top 10% · 4k works
  10. 10 South Korea · #12 all time 16.4% top 10% · 2.2k works

The track on each row is that row’s top-10% rate. The ranking itself is the composite score, which the rate is only one part of.

Of 54 countries ranked in Computational Mechanics. Composite of field-normalised excellence (50%), output (30%) and citations (20%); the bracket is the all-time rank.

All countries ranked in Computational Mechanics

By volume, 2022–2025

  1. 1 China 39k works
  2. 2 United States 15k works
  3. 3 India 8.5k works
  4. 4 Germany 8.4k works
  5. 5 Russia 4.9k works
  6. 6 France 4.5k works
  7. 7 Japan 4k works
  8. 8 United Kingdom 3.7k works
  9. 9 Italy 2.7k works
  10. 10 South Korea 2.2k works

How concentrated that is

The same countries as shares of everything the list above accounts for. A node where two countries do two thirds of the work and one spread evenly across twelve read alike as a ranking and not at all alike here.

China: 42.2%United States: 16.0%India: 9.1%Germany: 9.0%6 others listed: 23.7%42%largest
China39k · 42.2%United States15k · 16.0%India8,521 · 9.1%Germany8,357 · 9.0%6 others listed22k · 23.7%

Shares of the rows listed above, not of the whole node.

Which institutions lead Computational Mechanics research?

Tsinghua University (China) ranks first in Computational Mechanics on research quality in 2022–2025, followed by Shanghai Jiao Tong University and Xi'an Jiaotong University.

By research quality, 2022–2025

  1. 1 Tsinghua University China · Beijing · #15 all time 26.0% top 10% · 906 works
  2. 2 Shanghai Jiao Tong University China · Shanghai · #33 all time 25.2% top 10% · 1.1k works
  3. 3 Xi'an Jiaotong University China · Xi'an · #27 all time 25.7% top 10% · 1k works
  4. 4 Northwestern Polytechnical University China · Xi'an · #38 all time 27.9% top 10% · 889 works
  5. 5 Harbin Institute of Technology China · Harbin · #45 all time 27.5% top 10% · 842 works
  6. 6 Beihang University China · Beijing · #19 all time 28.0% top 10% · 866 works
  7. 7 Zhejiang University China · Hangzhou · #68 all time 23.9% top 10% · 628 works
  8. 8 National University of Defense Technology China · Changsha · #37 all time 28.8% top 10% · 567 works
  9. 9 Dalian University of Technology China · Dalian · #80 all time 24.9% top 10% · 640 works
  10. 10 Chinese Academy of Sciences China · Beijing · #50 all time 22.2% top 10% · 616 works

The track on each row is that row’s top-10% rate. The ranking itself is the composite score, which the rate is only one part of.

Of 376 institutions above the floor of 40 fractional works in Computational Mechanics.

Top 100 Computational Mechanics institutions

By volume, 2022–2025

  1. 1 Shanghai Jiao Tong UniversityChina 1.1k works
  2. 2 Xi'an Jiaotong UniversityChina 1k works
  3. 3 Tsinghua UniversityChina 906 works
  4. 4 Northwestern Polytechnical UniversityChina 889 works
  5. 5 Beihang UniversityChina 866 works
  6. 6 Harbin Institute of TechnologyChina 842 works
  7. 7 Nanjing University of Aeronautics and AstronauticsChina 709 works
  8. 8 Dalian University of TechnologyChina 640 works
  9. 9 Zhejiang UniversityChina 628 works
  10. 10 Chinese Academy of SciencesChina 617 works

Who are the leading researchers in Computational Mechanics?

Among the most productive authors in Computational Mechanics, Stanley Osher, George Em Karniadakis and Leonidas Guibas rank highest on the composite score.

  1. 1 Stanley Osher United States · #48 worldwide 8k citations · 207 works
  2. 2 George Em Karniadakis United States · #151 worldwide 6.3k citations · 268 works
  3. 3 Leonidas Guibas United States · #165 worldwide 6.3k citations · 229 works
  4. 4 Wei Liu China · #275 worldwide 9.7k citations · 371 works
  5. 5 Ted Belytschko United States · #315 worldwide 4.1k citations · 139 works
  6. 6 Thomas J.R. Hughes United States · #636 worldwide 3.7k citations · 163 works
  7. 7 Michael J. Black Germany · #699 worldwide 3.4k citations · 129 works
  8. 8 Ivo Babuška United States · #975 worldwide 2.7k citations · 110 works
  9. 9 Richard G. Baraniuk United States · #1,264 worldwide 4.4k citations · 213 works
  10. 10 Petre Stoica Sweden · #1,382 worldwide 3.8k citations · 215 works

Re-ranked on the composite score from the 5,835 highest-output authors in Computational Mechanics. Identities come from OpenAlex author disambiguation, which occasionally merges or splits people.

Top 100 Computational Mechanics researchers

Where is Computational Mechanics research done?

The largest centres of Computational Mechanics research in 2022–2025 are Beijing (China), Shanghai (China), Xi'an (China) and Nanjing (China). Among places with at least 20 works in it, it is an unusually large share of all research in Sint-Genesius-Rode, Mianyang and Zhukovskiy.

Largest cities, 2022–2025

  1. 1 Beijing China 7.9k works
  2. 2 Shanghai China 3.1k works
  3. 3 Xi'an China 2.9k works
  4. 4 Nanjing China 2.3k works
  5. 5 Moscow Russia 1.9k works
  6. 6 Wuhan China 1.7k works
  7. 7 Harbin China 1.6k works
  8. 8 Hangzhou China 1.4k works
  9. 9 Tokyo Japan 1.4k works
  10. 10 Paris France 1.2k works

Where it is the local speciality

  1. Sint-Genesius-RodeBE · 62.1 works45×
  2. Mianyang40.5 works38×
  3. ZhukovskiyRU · 84.0 works35×
  4. AmbergDE · 21.2 works18×
  5. HamptonUS · 181.3 works16×
  6. CapuaIT · 26.8 works14×
← less than its size predicts1×more →

Location quotient: how much more of its research is in Computational Mechanics than the world average.

See Computational Mechanics on the map

Computational Mechanics research by country

The best places for Computational Mechanics research inside each country, with that country's researchers and world standing.

Where is the best place to study Computational Mechanics?

Among universities, judged by research, King Khalid University, Beihang University and Northwestern Polytechnical University score highest, combining excellence, specialisation, size, growth and international reach. Research strength is one signal when choosing where to study; it does not measure teaching.

0%20%40%mean 27.51%fractional works in this node (log) →share in the world top 10% →King Khalid University: 145, 30.0%Beihang University: 866, 28.0%Northwestern Polytechnical University: 889, 27.9%Southern University of Science and Technology: 232, 27.8%Xi'an Jiaotong University: 1,003, 25.7%National University of Defense Technology: 567, 28.8%Harbin Engineering University: 506, 23.3%Shanghai Jiao Tong University: 1,076, 25.2%Hong Kong Polytechnic University: 281, 34.9%Nanjing University of Aeronautics and Astronautics: 709, 23.5%King Khalid UniversityBeihang UniversityNorthwestern Polytec…Southern University …
above the meannear itbelow it

One dot per university in the table below. The upper left is the interesting corner: small places doing unusually strong work.

#UniversityScoreTop 10%SpecialisationWorksGrowth
1 King Khalid UniversitySaudi Arabia 64.030.0%3.3×145 +377.3%
2 Beihang UniversityChina 62.728.0%6.6×866 +3.6%
3 Northwestern Polytechnical UniversityChina 62.627.9%6.5×889 -2.2%
4 Southern University of Science and TechnologyChina 60.527.8%3.6×232 +3213.5%
5 Xi'an Jiaotong UniversityChina 60.425.7%5.2×1,003 +32.7%
6 National University of Defense TechnologyChina 60.328.8%6.1×567 +40.7%
7 Harbin Engineering UniversityChina 59.523.3%8.2×506 +13.9%
8 Shanghai Jiao Tong UniversityChina 58.525.2%4.2×1,076 +37.9%
9 Hong Kong Polytechnic UniversityHong Kong 58.234.9%2.7×281 +5.2%
10 Nanjing University of Aeronautics and AstronauticsChina 57.923.5%6.7×709 +7.2%

Universities only. Score blends excellence (30%), specialisation (25%), size (20%), growth (15%) and international reach (10%), 2015–2022; growth compares 2010–14 with 2015–19.

Is Computational Mechanics research growing?

Output in 2018–2022 was 11% higher than in 2013–2017, peaking in 2024. The fastest-growing topics are Sparse and Compressive Sensing Techniques, Physics and Engineering Research Articles and Heat transfer and supercritical fluids.

19801990200020102020
grewheldshrank

The same series as a ribbon — one cell per year, darker for more. The line above answers how much; this answers when.

Which topics inside it are moving

Growth and decline on one axis around a shared zero. Two lists side by side hide the thing that matters: whether the growth dwarfs the decline, or the other way round.

  1. Sparse and Compressive Sensing Techniques+280%
  2. Physics and Engineering Research Articles+236%
  3. Heat transfer and supercritical fluids+110%
  4. Fluid Dynamics Simulations and Interactions+83%
  5. Fluid Dynamics and Heat Transfer+81%
  6. Fluid Dynamics and Vibration Analysis+79%
  7. 3D Shape Modeling and Analysis-12%
  8. Advanced Numerical Analysis Techniques-16%
  9. Advanced Adaptive Filtering Techniques-16%
  10. Laser and Thermal Forming Techniques-19%
← shrinkingno changegrowing →

Growth in output from 2005–09 to 2015–19. Every topic is a page of its own.

What does Computational Mechanics include?

Fluid Dynamics and Turbulent Flows: 107k fractional worksComputational Fluid Dynamics and Aerodynamics: 61k fractional worksCombustion and flame dynamics: 53k fractional worksIon-surface interactions and analysis: 50k fractional worksPhysics and Engineering …46kPhysics and Engineering Research Articles: 46k fractional worksAdvanced Numerical Analysis Techniques: 42k fractional worksFluid Dynamics and Vibration Analysis: 41k fractional worksAdvanced Numerical Methods in Computational Mathematics: 38k fractional worksLaser Material Processing Techniques: 34k fractional worksSurface Roughness and Optical Measurements: 33k fractional worksFluid Dynamics Simulations and Interactions: 31k fractional worksAdvanced Adaptive Filtering Techniques: 30k fractional works

Area is fractional works in that topic. Every name below is a page of its own.