참고문헌
- Berger, M.J. and Oliger, J., 1984, 'Adaptive Mesh Refinement for Hyperbolic Partial Differential Equations,' Journal of Computational Physics, 53, pp. 484-512 https://doi.org/10.1016/0021-9991(84)90073-1
- Bermejo, R. and Staniforth, A., 1992, 'The Conversion of Semi-Lagrangian Advection Schemes to Quasi-Monotone Schemes,' Monthly Weather Review, 120, pp. 2623-2632 https://doi.org/10.1175/1520-0493(1992)120<2622:TCOSLA>2.0.CO;2
- Borthwick, A.G.L., Cruz Leon, S. and Jozsa, J., 2001, 'The Shallow Flow Equations Solved on Adaptive Quadtree Grids,' International Journal for Numerical Methods in Fluids, 37, pp. 691-719 https://doi.org/10.1002/fld.192
- Doswell Ⅲ, C.A., 1984, 'A Kinematic Analysis of Frontogenesis Associated with a Nondivergent Vortex,' Journal of the Atmospheric Sciences, 41, pp. 1242-1248 https://doi.org/10.1175/1520-0469(1984)041<1242:AKAOFA>2.0.CO;2
- Hirt, C.W. and Nichols, B.D., 1981, 'Volume of Fluid (VOF) Method for the Dynamics of Free Boundaries,' Journal of Computational Physics, 39, pp. 201-225 https://doi.org/10.1016/0021-9991(81)90145-5
- Hundsdorfer, W. and Trompert, R. A., 1994, 'Method of Lines and Direct Discretization: a Comparison for Linear Advection,' Applied Numerical Mathematics, 13, pp. 469-490 https://doi.org/10.1016/0168-9274(94)90009-4
- Nair, R., Cote, J. and Staniforth, A., 1999, 'Monotonic Cascade Interpolation for Semi-Lagrangian Advection,' Q. J. R. Meteorol. Sci., 125, pp. 197-212 https://doi.org/10.1002/qj.49712555311
- Nakamura, T., Tanaka, R., Yabe, T. and Takizawa, K., 2001, 'Exactly Conservative Semi-Lagrangian Scheme for Multi-Dimensional Hyperbolic Equations with Directional Splitting Technique,' Journal of computational physics, 174, pp. 171-207 https://doi.org/10.1006/jcph.2001.6888
- Osher, S. and Sethian, J.A., 1988, 'Fronts Propagating with Curvature-Dependent Speed: Algorithms Based on Hamilton-Jacobi Formulations,' Computer Physics Communications, 79, pp.12-49 https://doi.org/10.1016/0021-9991(88)90002-2
- Rancic, M., 1992, 'Semi-Lagrangian Piecewise Biparabolic Scheme for Two-Dimensional Horizontal Advection of a Passive Scalar,' Monthly Weather Review, 120, pp. 1394-1406 https://doi.org/10.1175/1520-0493(1992)120<1394:SLPBSF>2.0.CO;2
- Yabe, T. and Aoki, T., 1991, 'A Universal Solver for Hyperbolic Equations by Cubic-Polynomial Interpolation,' Computer Physics Communications, 66, pp. 219-232 https://doi.org/10.1016/0010-4655(91)90071-R
- Yoon ,S. Y. and Yabe, T., 1999, 'The Unified Simulation for Incompressible and Compressible Flow by the Predictor-Corrector Scheme Based on the CIP Method,' Computer Physics Communications, 119, pp. 149-158 https://doi.org/10.1016/S0010-4655(99)00192-7
- Zalesak, S.T., 1979, 'Fully Multi-Dimensional Flux-Corrected Transport Algorithms for Fluids,' Journal of Computational Physics, 31, pp. 335-362 https://doi.org/10.1016/0021-9991(79)90051-2