Dept. HomeDr Peter K. SwebySenior LecturerTelephone: +44 (0)118 9318675Fax: +44 (0)118 9313423 email: P.K.Sweby@reading.ac.uk
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Main Research Interests
- Numerical solution of hyperbolic conservation laws
- Total variation diminishing (TVD) schemes
- Grid generation and adaptation
- Dynamics of discretisations
Recent & Current Research Students
- Paul Burton 1994-97
Convergence of Flux Limiter Schemes for Hyperbolic Conservation Laws with Source Terms
- Joel Goodwin 1994-97
Developing a Practical Approach to Water Wave Scattering Problems
- Thomas Johnson 1996-1999
Algorithms for water quality modelling in urban drainage systems
- Justin Hudson 1998-2001
Numerical techniques for morphodynamics modelling of coastal regions
- Joanne Morgan 1998-2002
Numerical methods for traffic flow
- Ken Blake 1998-2001
Contour zoning
- David Bailey 2001-
- Paul Jelfs 2001-
Estuary and coastal morphodynamics and hydrodynamics using finite elements - Joel Goodwin 1994-97
Key & Recent Publications
- T. C. Johnson, M. J. Baines, P. K. Sweby (2002), "A box scheme for transcritical flow", International Journal for Numerical Methods in Engineering, 55, pp 895-912
- Lu, Y. G. and Sweby, P. K. and Chen, K., (1999), "The rate of convergence of the viscosity method for a nonlinear hyperbolic system", Nonlinear Analysis-Theory Methods & Applications, 38, pp435-445
- Yee, H. C. and Torczynski, J. R. and Morton, S. A. and Visbal, M. R. and Sweby, P. K. (1999), "On spurious behavior of CFD simulations", Int. J. For Numer. Methods in Fluids, 30, pp675-711
- Yee, H. C. and Sweby, P. K. (1998), "Aspects of numerical uncertainties in time marching to steady-state numerical solutions", AIAA J., 36, pp712-724
- Yee, H. C. and Sweby, P. K. (1997), "On spurious behavior of super-stable implicit methods", Int. J. Computational Fluid Dynamics, 8, p265
- Sweby, P. K. and Yee, H. C. (1996), "On the dynamics of some discretisations of convection- diffusion equations", Zeitschrift fur Angewandte Mathematik und Mechanik, 76, pp553-554
- Yee, H. C. and Sweby, P. K. (1995), "Dynamical-approach study of spurious steady-state numerical- solutions of nonlinear differential-equations .2. Global asymptotic-behavior of time discretizations.", Int. J. Computational Fluid Dynamics, 4, p219
- Yee, H. C. and Sweby, P. K. (1994), "Global asymptotic-behavior of iterative implicit schemes.", Int. J. Bifurcation and Chaos, 4, pp1579-1611
- Chen, K. and Baines, M. J. and Sweby, P. K. (1993), "On an adaptive time-stepping strategy for solving nonlinear diffusion-equations.", J. Comput. Phys., 105, pp324-332
- Griffiths, D. F. and Sweby, P. K. and Yee, H. C. (1992), "On spurious asymptotic numerical-solutions of explicit Runge-Kutta methods.", IMA J. Numer. Anal., 12, pp319-338
- Yee, H. C. and Sweby, P. K. and Griffiths, D. F. (1991), "Dynamic approach study of spurious steady-state numerical- solutions of nonlinear differential-equations .1. The dynamics of time discretization and its implications for algorithm development in computational fluid-dynamics.", J. Comput. Phys., 97, pp249-310
- Morton, K. W. and Sweby, P. K. (1987), "A comparison of flux limited difference-methods and characteristic Galerkin methods for shock modeling.", J. Comput. Phys., 73, pp203-230
- Morton, K. W. and Sweby, P. K. (1985), "A comparison of finite-difference and characteristic Galerkin methods for shock modeling.", Lecture Notes Phys., 218, pp412-416
- Sweby, P. K (1984), "High-resolution schemes using flux limiters for hyperbolic conservation-laws.", Siam J. Numer. Analysis , 21, pp995-1011
- Sweby, P. K. and Baines, M. J. (1984), "On convergence of Roe's scheme for the general non-linear scalar wave-equation.", J. Comput. Phys., 56, pp135-148