課程介紹
The course in this semester is to discuss computational methods for simulating fluid dynamics in atmospherical science.
教學進度:
Week 1: 3/2-3/6: Overview
Week 2: 3/9-3/13: Theory of hyperbolic partial differential equations (I)
Week 3: 3/16-3/20: Theory of hyperbolic partial differential equations (II)
Week 4: 3/23-3/27: Theory of high-order numerical method for hyperbolic partial differential equations
Week 5: 3/30-4/3: Discussions
Week 6: 4/6-4/10: Advection equations on the spherical surface
Week 7: 4/13-4/17: High-order numerical methods for advection equations on spherical surfaces (1)
Week 8: 4/20-4/24: High-order numerical methods for advection equations on spherical surfaces (2)
Week 9: 4/27-5/1: Presentation and discussions
Week 10: 5/4-5/8: Shallow water equations on the spherical surfaces
Week 11: 5/11-5/15: Numerical methods for shallow water equations on the spherical surfaces (1)
Week 12: 5/18-5/22: Numerical methods for shallow water equations on the spherical surfaces (2)
Week 13: 5/25-5/29: Numerical methods for shallow water equations on the spherical surfaces (3)
Week 14: 6/1-6/5: Presentation and discussions
Week 15: 6/8-6/12: Euler equations on spherical shells
Week 16: 6/15-6/29: High-order numerical methods for Euler equations on spherical surfaces.
Week 17: 6/22-6/24: Discussions
Week 18: 6/29-7/3: Final presentations
Week 2: 3/9-3/13: Theory of hyperbolic partial differential equations (I)
Week 3: 3/16-3/20: Theory of hyperbolic partial differential equations (II)
Week 4: 3/23-3/27: Theory of high-order numerical method for hyperbolic partial differential equations
Week 5: 3/30-4/3: Discussions
Week 6: 4/6-4/10: Advection equations on the spherical surface
Week 7: 4/13-4/17: High-order numerical methods for advection equations on spherical surfaces (1)
Week 8: 4/20-4/24: High-order numerical methods for advection equations on spherical surfaces (2)
Week 9: 4/27-5/1: Presentation and discussions
Week 10: 5/4-5/8: Shallow water equations on the spherical surfaces
Week 11: 5/11-5/15: Numerical methods for shallow water equations on the spherical surfaces (1)
Week 12: 5/18-5/22: Numerical methods for shallow water equations on the spherical surfaces (2)
Week 13: 5/25-5/29: Numerical methods for shallow water equations on the spherical surfaces (3)
Week 14: 6/1-6/5: Presentation and discussions
Week 15: 6/8-6/12: Euler equations on spherical shells
Week 16: 6/15-6/29: High-order numerical methods for Euler equations on spherical surfaces.
Week 17: 6/22-6/24: Discussions
Week 18: 6/29-7/3: Final presentations
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