CIP Method of Characteristics for the Solution of Tide Wave Equations
The CIP-MOC (Constrained Interpolation Profile/Method of Characteristics) is proposed to solve the tide wave equations with large time step size. The bottom topography and bottom friction, which are very important factor for the tidal wave model, are included to the equation of Riemann invariants as...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2018/3469534 |
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| _version_ | 1832566489037668352 |
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| author | Yafei Nie Kai Fu Xianqing Lv |
| author_facet | Yafei Nie Kai Fu Xianqing Lv |
| author_sort | Yafei Nie |
| collection | DOAJ |
| description | The CIP-MOC (Constrained Interpolation Profile/Method of Characteristics) is proposed to solve the tide wave equations with large time step size. The bottom topography and bottom friction, which are very important factor for the tidal wave model, are included to the equation of Riemann invariants as the source term. Numerical experiments demonstrate the good performance of the scheme. Compared to traditional semi-implicit (SI) finite difference scheme which is widely used in tidal wave simulation, CIP-MOC has better stability in simulating large gradient water surface change and has the ability to use much longer time step size under the premise of maintaining accuracy. Besides, numerical tests with reflective boundary conditions are carried out by CIP-MOC with large time step size and good results are obtained. |
| format | Article |
| id | doaj-art-8042a22e4c8340499a12df65cca13c9e |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-8042a22e4c8340499a12df65cca13c9e2025-02-03T01:04:02ZengWileyAdvances in Mathematical Physics1687-91201687-91392018-01-01201810.1155/2018/34695343469534CIP Method of Characteristics for the Solution of Tide Wave EquationsYafei Nie0Kai Fu1Xianqing Lv2Physical Oceanography Laboratory, Ocean University of China, Qingdao 266100, ChinaSchool of Mathematical Sciences, Ocean University of China, Qingdao 266100, ChinaPhysical Oceanography Laboratory, Ocean University of China, Qingdao 266100, ChinaThe CIP-MOC (Constrained Interpolation Profile/Method of Characteristics) is proposed to solve the tide wave equations with large time step size. The bottom topography and bottom friction, which are very important factor for the tidal wave model, are included to the equation of Riemann invariants as the source term. Numerical experiments demonstrate the good performance of the scheme. Compared to traditional semi-implicit (SI) finite difference scheme which is widely used in tidal wave simulation, CIP-MOC has better stability in simulating large gradient water surface change and has the ability to use much longer time step size under the premise of maintaining accuracy. Besides, numerical tests with reflective boundary conditions are carried out by CIP-MOC with large time step size and good results are obtained.http://dx.doi.org/10.1155/2018/3469534 |
| spellingShingle | Yafei Nie Kai Fu Xianqing Lv CIP Method of Characteristics for the Solution of Tide Wave Equations Advances in Mathematical Physics |
| title | CIP Method of Characteristics for the Solution of Tide Wave Equations |
| title_full | CIP Method of Characteristics for the Solution of Tide Wave Equations |
| title_fullStr | CIP Method of Characteristics for the Solution of Tide Wave Equations |
| title_full_unstemmed | CIP Method of Characteristics for the Solution of Tide Wave Equations |
| title_short | CIP Method of Characteristics for the Solution of Tide Wave Equations |
| title_sort | cip method of characteristics for the solution of tide wave equations |
| url | http://dx.doi.org/10.1155/2018/3469534 |
| work_keys_str_mv | AT yafeinie cipmethodofcharacteristicsforthesolutionoftidewaveequations AT kaifu cipmethodofcharacteristicsforthesolutionoftidewaveequations AT xianqinglv cipmethodofcharacteristicsforthesolutionoftidewaveequations |