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Numerical solution of turbulence problems by solving Burgers' equation

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Numerical solution of turbulence problems by solving Burgers' equation

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Cordero Barbero, A.; Franqués García, AM.; Torregrosa Sánchez, JR. (2015). Numerical solution of turbulence problems by solving Burgers' equation. Algorithms. 8(2):224-233. doi:10.3390/a8020224

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Título: Numerical solution of turbulence problems by solving Burgers' equation
Autor: Cordero Barbero, Alicia Franqués García, Antonio María Torregrosa Sánchez, Juan Ramón
Entidad UPV: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Fecha difusión:
Resumen:
In this work we generate the numerical solutions of Burgers' equation by applying the Crank-Nicholson method and different schemes for solving nonlinear systems, instead of using Hopf-Cole transformation to reduce Burgers' ...[+]
Palabras clave: Burgers’ equation , Nonlinear system of equations , Newton’s scheme , High order iterative method
Derechos de uso: Reconocimiento (by)
Fuente:
Algorithms. (issn: 1999-4893 )
DOI: 10.3390/a8020224
Editorial:
MDPI
Versión del editor: http://dx.doi.org/10.3390/a8020224
Tipo: Artículo

References

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Lowrie, R. B. (2004). A comparison of implicit time integration methods for nonlinear relaxation and diffusion. Journal of Computational Physics, 196(2), 566-590. doi:10.1016/j.jcp.2003.11.016

An, H.-B., Mo, Z.-Y., Xu, X.-W., & Liu, X. (2009). On choosing a nonlinear initial iterate for solving the 2-D 3-T heat conduction equations. Journal of Computational Physics, 228(9), 3268-3287. doi:10.1016/j.jcp.2009.01.024

Bruns, D. D., & Bailey, J. E. (1977). Nonlinear feedback control for operating a nonisothermal CSTR near an unstable steady state. Chemical Engineering Science, 32(3), 257-264. doi:10.1016/0009-2509(77)80203-0

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Wani, S. S., & Thakar, S. H. (2013). Crank-Nicolson Type Method for Burgers Equation. International Journal of Applied Physics and Mathematics, 324-328. doi:10.7763/ijapm.2013.v3.230

Arroyo, V., Cordero, A., & Torregrosa, J. R. (2011). Approximation of artificial satellites’ preliminary orbits: The efficiency challenge. Mathematical and Computer Modelling, 54(7-8), 1802-1807. doi:10.1016/j.mcm.2010.11.063

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