FINITE ELEMENT ANALYSIS FOR THE UNSTEADY NEARSHORE CIRCULATION DUE TO WAVE-CURRENT INTER-ACTION (I)—NUMERICAL MODEL

摘要/Abstract

摘要： In this paper, a numerical model for predicting the unsteady nearshore circulation due to wave-current interaction was proposed. In addition to the traditional continuity, momentum and energy equations, the dispersion and refraction relations were included in the governing equations. Moreover, the effects of lateral shears, wind, radiation and bottom stresses were analysed in the governing equations. Therefore, we expect that this model may more completely and exactly reflect the law of wave-current interaction.In part (Ⅱ) we will adopt the.selective lumping two-step explicit finite element method to solve the model, and some examples will be presented.

关键词: Hilbert space, coercivity condition, compact, imbedding mapping, elliptic equation, numerical model, finite element method, unsteady circulation, nearshore circulation

Abstract: In this paper, a numerical model for predicting the unsteady nearshore circulation due to wave-current interaction was proposed. In addition to the traditional continuity, momentum and energy equations, the dispersion and refraction relations were included in the governing equations. Moreover, the effects of lateral shears, wind, radiation and bottom stresses were analysed in the governing equations. Therefore, we expect that this model may more completely and exactly reflect the law of wave-current interaction.In part (Ⅱ) we will adopt the.selective lumping two-step explicit finite element method to solve the model, and some examples will be presented.

Key words: Hilbert space, coercivity condition, compact, imbedding mapping, elliptic equation, numerical model, finite element method, unsteady circulation, nearshore circulation

吴伟雄. FINITE ELEMENT ANALYSIS FOR THE UNSTEADY NEARSHORE CIRCULATION DUE TO WAVE-CURRENT INTER-ACTION (I)—NUMERICAL MODEL[J]. Applied Mathematics and Mechanics (English Edition), 1994, 15(8): 749-754.

Wu Wei-xiong. FINITE ELEMENT ANALYSIS FOR THE UNSTEADY NEARSHORE CIRCULATION DUE TO WAVE-CURRENT INTER-ACTION (I)—NUMERICAL MODEL[J]. Applied Mathematics and Mechanics (English Edition), 1994, 15(8): 749-754.

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