Mathematics â€ș Applied Mathematics

Gas Dynamics and Kinetic Theory

Description

This cluster of papers focuses on mathematical and computational aspects of collisional kinetic theory, with applications to rarefied gas flows, hypersonic aerothermodynamics, and thermal protection systems. It covers topics such as the Boltzmann equation, numerical methods for kinetic equations, gas-surface interactions, microflows, and ablation properties of materials.

Keywords

Kinetic Theory; Boltzmann Equation; Rarefied Flows; Numerical Methods; Thermal Protection Systems; Hypersonic Flows; Vlasov Equation; Gas-Solid Interfaces; Microflows; Ablative Materials

Most Cited Works

Action Title Date Authors
+
Supersonic Flow and Shock Waves 1976-01-01 Richard Courant Kurt Friedrichs
+
Changes in Atmospheric Constituents and in Radiative Forcing 2007-10-01 Piers M. Forster V. Ramaswamy Paulo Artaxo Terje K. Berntsen Richard Betts D. W. Fahey Jim Haywood J. Lean David C. Lowe Gunnar Myhre
Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws 1998-01-01 Chi‐Wang Shu
+
Restoration of the contact surface in the HLL-Riemann solver 1994-07-01 Eleuterio F. Toro M. Spruce W. Speares
+
Efficient implementation of essentially non-oscillatory shock-capturing schemes, II 1989-07-01 Chi‐Wang Shu Stanley Osher
Theory of plasma transport in toroidal confinement systems 1976-04-01 F. L. Hinton R. D. Hazeltine
Aerodynamic design via control theory 1988-09-01 Antony Jameson
+
High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws 1984-10-01 P. K. Sweby
+
Systematics of Vibrational Relaxation 1963-12-15 Roger C. Millikan Donald R. White
+
An Implicit Factored Scheme for the Compressible Navier-Stokes Equations 1978-04-01 Richard M. Beam R. F. Warming
+
Fully multidimensional flux-corrected transport algorithms for fluids 1979-06-01 Steven T. Zalesak
+
Thin-layer approximation and algebraic model for separated turbulentflows 1978-01-16 Betty Baldwin Harvard Lomax
+
Lattice BGK Models for Navier-Stokes Equation 1992-02-01 Y. H. Qian Dominique d’Humiùres Pierre Lallemand
Supersonic Flow and Shock Waves 1949-05-01 M. J. Lighthill
+
High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method 1982-12-01 Urmila Ghia K. N. Ghia C. T. Shin
Candle Soot as a Template for a Transparent Robust Superamphiphobic Coating 2011-12-02 Xu Deng Lena Mammen Hans‐JĂŒrgen Butt Doris Vollmer
+
Towards the ultimate conservative difference scheme. II. Monotonicity and conservation combined in a second-order scheme 1974-03-01 Bram van Leer
Efficient Implementation of Weighted ENO Schemes 1996-06-01 Guang-Shan Jiang Chi‐Wang Shu
+
On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws 1983-01-01 Amiram Harten Peter D. Lax Bram van Leer
+
Weighted Essentially Non-oscillatory Schemes 1994-11-01 Xudong Liu Stanley Osher Tony F. Chan
+
The design and application of upwind schemes on unstructured meshes 1989-01-09 Timothy J. Barth Dennis C. Jespersen
+
Uniformly high order accurate essentially non-oscillatory schemes, III 1987-08-01 Ami Harten Björn Engquist Stanley Osher Sukumar Chakravarthy
+
A Viscosity Equation for Gas Mixtures 1950-04-01 C. R. Wilke
+
A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems 1954-05-01 P. L. Bhatnagar Eugene P. Gross Max Krook
+
Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes 1997-08-01 Philip L. Roe
+
Nonlinear scalar field equations, I existence of a ground state 1983-12-01 Henri Berestycki P. L. Lions
The Piecewise Parabolic Method (PPM) for gas-dynamical simulations 1984-04-01 Phillip Colella Paul R. Woodward
Local adaptive mesh refinement for shock hydrodynamics 1989-05-01 Marsha Berger Phillip Colella
Reduction of stiffness and mass matrices 1965-02-01 R. J. Guyan
+
The Runge–Kutta Discontinuous Galerkin Method for Conservation Laws V 1998-04-01 Bernardo Cockburn Chi‐Wang Shu
The Compressibility of Media under Extreme Pressures 1944-09-15 F. D. Murnaghan
+
Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method 1979-07-01 Bram van Leer
+
Numerical simulations of particulate suspensions via a discretized Boltzmann equation. Part 1. Theoretical foundation 1994-07-25 Anthony J. C. Ladd
+
Characteristic-Based Schemes for the Euler Equations 1986-01-01 Philip L. Roe
+
On the kinetic theory of rarefied gases 1949-12-01 Harold Grad
Thermal Equilibrium of the Atmosphere with a Given Distribution of Relative Humidity 1967-05-01 Syukuro Manabe R. T. Wetherald
+
The mathematical theory of non-uniform gases 1971-01-01 K. G. Budden
+
Flux-corrected transport. I. SHASTA, a fluid transport algorithm that works 1973-01-01 Jay P. Boris David Book
CasADi: a software framework for nonlinear optimization and optimal control 2018-07-11 Joel A.E. Andersson Joris Gillis Greg Horn James B. Rawlings Moritz Diehl
+
Kinetic theory of gases 1958-01-01 R. D. Present
Efficient implementation of essentially non-oscillatory shock-capturing schemes 1988-08-01 Chi‐Wang Shu Stanley Osher
+
Physics of Shock Waves and High-Temperature Hydrodynamic Phenomena 1967-01-01
+
Erratum: Density-functional approximation for the correlation energy of the inhomogeneous electron gas 1986-11-15 John P. Perdew
+
Shock Compression of Condensed Matter–1991 1992-01-01
+
The Mathematical Theory of Non-Uniform Gases 1962-05-01 Sydney Chapman T. G. Cowling David Park
+
Physics of shock waves and high-temperature hydrodynamic phenomena 1970-10-01
Computer Simulation Using Particles 1988-01-01 R. W. Hockney J.W. Eastwood
+
Evaporation into the Atmosphere 1982-01-01 Wilfried Brutsaert
+
Evaporation into the Atmosphere 1863-12-12 Wilfried Brutsaert
+
Molecular Gas Dynamics And The Direct Simulation Of Gas Flows 1994-05-05 G. A. Bird

Most Recent Works

Action Title Date Authors
+
Dissimilar material association analysis of thermal response in functionally graded thermal protection structures for high-speed flight experiments 2025-05-01 Xiaofeng Yang Lei Liu Yanxia Du Xianmei Cai Dong Wei Guangming Xiao Xianxu Yuan Chun‐Quan Ou Yang Yang Guodong Fang
+
Numerical Analysis of Fine Particle Behavior in Supersonic Hybrid Aerosol Deposition 2025-05-01 Yuki Akedo Kentaro Shinoda Takayasu Fujino
+
Sensitivity Analyses of Thermochemical Kinetics for Radiating Ablative Nonequilibrium Hypersonic Flows 2025-05-01 Nicholas Carter Iain D. Boyd
+
Communication blackout and aerodynamic heating reduction via air film for hypersonic spacecraft 2025-05-01 Takashi Miyashita Yuji Sugihara Yusuke Takahashi
+
Numerical Investigation on Laser Ablation Characteristics of C/C Materials Under High-Speed Airflow 2025-05-01 Guoyou Sun Juanmian Lei Boqian Zhang Jian Guo Shining Ding
+
Computational Analysis of Particle-Laden Flows Approaching Hypersonic Vehicles 2025-05-01 Prithvi Ramesh Dorrin Jarrahbashi
+
Single-Beam and -Detector Laser-Absorption Velocimetry, Non-Equilibrium Thermometry, an Nitric Oxide Measurements at Near-MHz Rates in Hypersonic Air 2025-05-01 Jonathan J. Gilvey Elijah Jans Charley Downing Bonnie A. Lyon Kyle P. Lynch Justin Wagner Christopher S. Goldenstein
+
High-Enthalpy Effects on Hypersonic Boundary-Layer Transition: Experimental and Numerical Comparison 2025-05-01 Ahsan Hameed Nick J. Parziale Joseph Kuehl Tony Liang Kevin Graziose Christoph Brehm Sean D. Dungan Jean-Philippe Brazier Laura A. Paquin
+
Retraction notice to “Corrigendum to Physica A 334 (2004) 144–159” [Phys. A Stat. Mech. Appl. 391 (2012) 1907] 2025-05-01 Liqiang Wei
+
A comparative study of CCW and Milton’s Methods: on the strong shock waves in van der Waals gas flow through a variable cross-section area 2025-05-02 Sewa Singh R. K. Anand
+
Numerical characterization of the dynamic high-temperature zone under the coupling effects of air supply, gas drainage and nitrogen injection 2025-05-01 Ping Li Xiyu Liu Shanran Wang Weilin Jiang
+
Parametric analysis of ammonia as a drag reducer in the scramjet combustor 2025-05-01 Xin Lu Silong Zhang Chaolei Dang Jiang Qin
Cycle-free polytopal mesh sweeping for Boltzmann transport 2025-05-02 Ansar Calloo M. Evans Henry Lockyer François Madiot Tristan Pryer Luca Zanetti
+
Near-Horizon Carnot Engines Beyond Schwarzschild: Exploring Black Brane Thermodynamics 2025-05-01 Lotte Mertens Jasper van Wezel
+
Measurement of quantitative heat flux on translucent surfaces using infrared thermography 2025-05-01 Brian S. Kinsey James A. Threadgill Stuart A. Craig
+
Existence of solutions to Dirichlet boundary value problems of the stationary relativistic Boltzmann equation 2025-05-02 Wang Yi Li Li Zaihong Jiang
+
Consistent Second Moment Methods with Scalable Linear Solvers for Radiation Transport 2025-05-02 Samuel Olivier Ben S. Southworth James S. Warsa HyeongKae Park
+
Extension to non-uniform meshes of a high order computationally explicit kinetic scheme for hyperbolic conservation laws 2025-05-01 Rémi Abgrall Stéphane Del Pino Axelle Drouard Emmanuel Labourasse
+
Hybridized triply periodic minimal surface recuperators in CSP supercritical CO2 recompressed Brayton cycles – review and avant-garde prospects 2025-05-01 Kabo Letlhare-Wastikc Xinle Yang
+
Working medium selection for Hypersonic Vehicle Closed Brayton Cycle Energy Systems 2025-05-01 Lanxin Wang Longxian Xue Yongji Liu Chuanjun Tang Wei Chen
+
Sonic Boom Velocity and Altitude Sensitivity Analysis of a Hypersonic Aircraft Concept 2025-05-05 Samuele Graziani Jacob JĂ€schke Nicole Viola Volker Gollnick
+
A Minimal-Parameterization of the Single-Solute Breakthrough-Curve Model: Statistical and Predictive Inference 2025-05-01 Robert F. DeJaco W. Sean McGivern Jeffrey A. Manion Daniel W. Siderius Huong Giang T. Nguyen Anthony J. Kearsley
+
Propagation of moments and regularity for the Vlasov-Maxwell-Bopp-Podolsky model and its Pauli-Villars type generalizations 2025-05-05 Christophe Cheverry Slim Ibrahim
+
Analytical and data-driven Koopman operator for the perturbed Kepler and circular restricted three-body problems 2025-05-01 Christian Hofmann Giovanni Lavezzi Di Wu Simone Servadio Richard Linares
+
Design and flow characterization of the Mach 5 shock tunnel at New Mexico State University 2025-05-06 Leonardo Saenz J. I. Frankel Andreas Groß Fangjun Shu
+
CO2 capture from flue gases in a temperature swing moving bed – simulation results vs. the experiment 2025-05-01 W. Zima Adam PawƂowski SƂawomir Grądziel Artur Cebula Monika Rerak Ewa Kozak-JagieƂa Marek Majdak Giorgia Mondino Vidar T. Skjervold
+
Geometric foundation of nonequilibrium transport: A Minkowski embedding of Markov dynamics 2025-05-06 David Andrieux
+
Superconvergence analysis for the Crank-Nicolson scheme of the Poisson-Nernst-Planck systems 2025-05-06 Minghao Li Minghao Li Z. X. Wu M M. Wang Liuchao Xiao
+
Numerical Study of Nonequilibrium Airflow over a Sphere-Cone with State-to-State Model 2025-05-06 Haidou Wang Ming Zeng Xiaoyang Duan Yuhang Wang Dongfang Wang Hongpeng Liu Wei Liu
+
Temperature Measurements in Hypersonic Wind Tunnels via Femtosecond Coherent Anti-Stokes Raman Scattering 2025-05-07 Daniel R. Richardson Sean P. Kearney Steven J. Beresh
+
Mechanism analysis of the DRO low-energy transfer problem: An energy perspective 2025-05-07 Ming Wang Chen Zhang Hao Zhang
+
Decomposition of Abrupt Transport Phenomena in Kelvin-Helmholtz Turbulence by Using Multi-Field Singular Value Decomposition 2025-05-07 Takumi KODAHARA M. Sasaki Y. Kawachi T. Kobayashi Y. Kosuga Hiroyuki Arakawa T. Yamada
+
Eulerian kinetic plasma simulations via allowed deformation modes of relative probability density profile 2025-05-07 Hai Lin Chengpu Liu
+
The suppression of anomalous impurity transport above a critical normalized density gradient scale length in Wendelstein 7-X 2025-05-07 Thilo Romba F. Reimold S. Bannmann Tom Bleher O. Ford P. Zs. Pölöskei Markus Wappl
+
Emission processes in a self--consistent field 2025-05-07 A. Dumitrescu D. S. Delion
+
Analysis of Ionization Reactions in Chemical Reaction Models of Hypersonic Re-entry Vehicles 2025-05-01 Shanyue Guan Zhengyu Tian Hang Yu Wenjia Xie Fan Yang Jiajun Zhu
+
Causality constraints on radiative transfer 2025-05-07 Lorenzo Gavassino
A multi-mesh approach for accurate computation of multi-target functionals in aerodynamics design 2025-05-01 Guanghui Hu Ruo Li Jingfeng Wang
+
Development of a boundary-coupled CFD model for collimated-diffusive radiation 2025-05-08 Johan Sarache Piña Juan Cruz Catalano María Clara Cortizo César M. Venier César I. Pairetti Santiago F. Corzo Darío Godino Damiån E. Ramajo
+
The 2D steady supersonic van der Waals flow turning a sharp corner 2025-05-08 Kefeng Wang Lihui Guo Yanbo Hu
+
Asymptotic stability of the rarefaction wave for the inflow problem of the bipolar compressible Navier–Stokes–Poisson system with large initial perturbation 2025-05-01 Qiwei Wu Jingjun Zhang
+
Doniach Lattice Gas on Bipartite Lattices in the Mean-Field Approximation 2025-05-09 C. P. B. Vignoto M. N. Tamashiro
+
Modified (n + 1)D Laplacian for smooth pressure reconstruction based on time-resolved Velocimetry (2): Experiments and perspectives 2025-05-09 Nazmus Sakib Zhao Pan Alexander G. Mychkovsky James T. Wiswall Barton L. Smith
+
Error analysis of a fractional-step method for reactive fluid flows with Arrhenius activation energy 2025-05-01 Mofdi El‐Amrani Anouar Obbadi Mohammed Seaı̈d Driss Yakoubi
+
Aerodynamic shape optimization for a hypersonic vehicle flying over a range of speeds 2025-05-01 Chaoqun Wei R Li Pengzhao Xu Yingxin Duan Sen Wang Yukun Chang
Critical thresholds in pressureless Euler–Poisson equations with background states 2025-05-09 Young-Pil Choi Dong-ha Kim Dowan Koo Eitan Tadmor
+
Quasi-steady shock refraction phenomenon at a diffusive fast–slow interface 2025-05-09 J. Pu Ben Guan Zheng-Tao Deng Zhigang Zhai Xisheng Luo
+
Spatially-resolved atomic oxygen absorption and emission measurements in the Hypersonic Materials Environmental Test System 2025-05-09 Tal Schwartz Scott Splinter Neil S. Rodrigues Paul M. Danehy Killian E. Samuels Christopher B. Kostyk Ronald K. Hanson
+
Convergence Analysis on a Second-Order, Positive, and Unconditional Energy Dissipative Scheme for the Poisson-Nernst-Planck Equations 2025-05-01 Jie Ding Xiang Xu
+
Automatic trajectory planning for stereotactic radiofrequency ablation in non-discrete search space 2025-05-11 Adéla Moravovå Reto Bale Wolfgang Freysinger