## SHASTA

 swMATH ID: 18281 Software Authors: Jay P Boris, David L Book Description: Flux-corrected transport. I. SHASTA, a fluid transport algorithm that works. This paper describes a class of explicit, Eulerian finite-difference algorithms for solving the continuity equation which are built around a technique called “flux correction.” These flux-corrected transport algorithms are of indeterminate order but yield realistic, accurate results. In addition to the mass-conserving property of most conventional algorithms, the FCT algorithms strictly maintain the positivity of actual mass densities so steep gradients and inviscid shocks are handled particularly well. This first paper concentrates on a simple one-dimensional version of FCT utilizing SHASTA, a new transport algorithm for the continuity equation, which is described in detail. Homepage: http://www.sciencedirect.com/science/article/pii/0021999173901472 Related Software: HE-E1GODF; HLLE; ReALE; Vador; MOOD; FEniCS; CMPGRD; KRAKEN; deal.ii; GFORCE; SLIC; Anderson; REMAP3D; chammp; ZEUS; FEATFLOW; FINESS; CATHARE; BoxLib; AUSM Referenced in: 253 Publications
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### Referenced by 439 Authors

 17 Kuzmin, Dmitri 10 Guermond, Jean-Luc 8 Popov, Boyan 6 De Luna, Manuel Quezada 5 Banks, Jeffrey W. 5 Barrenechea, Gabriel R. 5 Xiao, Feng 4 Breuß, Michael 4 Jameson, Antony 4 Knobloch, Petr 4 Kolobov, Andrey V. 4 Lohmann, Christoph 4 Tomas, Ignacio 4 Xu, Zhengfu 3 Book, David L. 3 Boris, Jay P. 3 Farhat, Charbel H. 3 Font, José A. 3 Henshaw, William D. 3 John, Volker 3 Kuznetsov, Maxim B. 3 Nazarov, Murtazo 3 Qiu, Jingmei 3 Rider, William J. 3 Seal, David C. 3 Shadid, John N. 3 Sheu, Tony Wen-Hann 3 Turek, Stefan 3 Váchal, Pavel 3 Weickert, Joachim 2 Bidadi, Shreyas 2 Christlieb, Andrew J. 2 Crouseilles, Nicolas 2 De Vuyst, Florian 2 Deng, Xi 2 Dubey, Ritesh Kumar 2 Jasinski, Janusz 2 Kadalbajoo, Mohan K. 2 Kaplan, Carolyn R. 2 Kees, Christopher E. 2 Ketcheson, David I. 2 Kivva, Sergii 2 Kolev, Tzanio V. 2 Kuchařík, Milan 2 Kumar, Ritesh 2 Liska, Richard 2 Liu, Yingjie 2 Loubère, Raphaël 2 Lowrie, Robert B. 2 Lyra, Paulo Roberto Maciel 2 Maier, Matthias Sebastian 2 Mehrenberger, Michel 2 Möller, Matthias 2 Oñate Ibáñez de Navarra, Eugenio 2 Oran, Elaine S. 2 Ortiz, Pablo 2 Osher, Stanley Joel 2 Pietrek, Slawomir 2 Rani, Sarma L. 2 Rankin, Richard 2 Ringler, Todd D. 2 Scovazzi, Guglielmo 2 Segur, Pierre 2 Shokin, Yuriĭ Ivanovich 2 Sonnendrücker, Eric 2 Steiner, Christophe 2 Tang, Lei 2 Tang, Qi 2 Tolstykh, Andrei I. 2 van Leer, Bram 2 Velechovsky, Jan 2 Welk, Martin 2 Wendroff, Burton 2 Winnicki, Ireneusz 2 Xiong, Tao 2 Xu, Kun 2 Zeng, Rong 2 Zeng, Xianyi 2 Zhuang, Chijie 1 Adams, Nikolaus A. 1 Afeyan, B. B. 1 Ahmad, Kamarul Arifin 1 Al-Lawatia, Mohamed 1 Alhumaizi, Khalid 1 Allendes, Alejandro 1 Alves, Leonardo Frota 1 Anderson, Robert W. G. 1 Angel, Jordan B. 1 Appadu, A. R. 1 Arber, T. D. 1 Argyropoulos, C. D. 1 Arnau, F. J. 1 Aszklar, Paweł 1 Aziz, Ahmad Fazli Abdul 1 Baeder, James D. 1 Bajpayi, Mayank 1 Ballestra, Luca Vincenzo 1 Balsara, Dinshaw S. 1 Bao, Weizhu 1 Barceló, Luis F. ...and 339 more Authors
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### Referenced in 53 Serials

 94 Journal of Computational Physics 27 Computer Methods in Applied Mechanics and Engineering 13 Computers and Fluids 13 Journal of Scientific Computing 7 Computers & Mathematics with Applications 7 Mathematics of Computation 7 Journal of Computational and Applied Mathematics 7 SIAM Journal on Scientific Computing 6 Applied Mathematical Modelling 5 Communications in Computational Physics 4 Computer Physics Communications 4 Applied Mathematics and Computation 4 Applied Numerical Mathematics 4 Russian Journal of Numerical Analysis and Mathematical Modelling 3 Living Reviews in Relativity 2 Acta Mechanica 2 Mathematics and Computers in Simulation 2 SIAM Journal on Numerical Analysis 2 Computational Mechanics 2 Computational Mathematics and Mathematical Physics 2 Journal of Mathematical Imaging and Vision 2 International Journal of Computer Vision 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 2 European Journal of Mechanics. B. Fluids 2 Communications in Nonlinear Science and Numerical Simulation 1 Fluid Dynamics 1 International Journal of Heat and Mass Transfer 1 Journal of Mathematical Biology 1 Wave Motion 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Theoretical and Computational Fluid Dynamics 1 Shock Waves 1 Numerische Mathematik 1 Mathematical and Computer Modelling 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Advances in Computational Mathematics 1 International Journal of Computational Fluid Dynamics 1 Differential Equations and Dynamical Systems 1 Abstract and Applied Analysis 1 Journal of Applied Mechanics and Technical Physics 1 Computational Geosciences 1 Combustion Theory and Modelling 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Archives of Computational Methods in Engineering 1 Journal of Applied Mathematics 1 International Journal of Computational Methods 1 Acta Numerica 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Algorithms 1 Arabian Journal for Science and Engineering 1 S$$\vec{\text{e}}$$MA Journal 1 Journal of Theoretical Biology 1 International Journal of Applied and Computational Mathematics
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### Referenced in 21 Fields

 157 Fluid mechanics (76-XX) 142 Numerical analysis (65-XX) 75 Partial differential equations (35-XX) 12 Geophysics (86-XX) 10 Statistical mechanics, structure of matter (82-XX) 8 Biology and other natural sciences (92-XX) 6 Mechanics of deformable solids (74-XX) 5 Optics, electromagnetic theory (78-XX) 4 Computer science (68-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Information and communication theory, circuits (94-XX) 3 Relativity and gravitational theory (83-XX) 2 History and biography (01-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Mechanics of particles and systems (70-XX) 2 Astronomy and astrophysics (85-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Integral equations (45-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX)