吉林水利
吉林水利
길림수리
JI LIN WATER RESOURCES
2014年
2期
42-45
,共4页
拉格朗日插值%潮水顶托%列表试算%泄流过程线
拉格朗日插值%潮水頂託%列錶試算%洩流過程線
랍격랑일삽치%조수정탁%렬표시산%설류과정선
Lagrange interpolation%tidal backwater%List spreadsheet%discharge process line
为了探究涵闸进口水位-流量关系未知且外江潮水对内江洪水具有顶托作用的调洪演算过程,在传统的列表试算方法基础上提出了单时段内根据涵闸运行原则且基于拉格朗日n次插值多项式的泄流前及泄流后容积水深插值调洪算法,为了计算方便,采用C++编写拉格朗日插值程序。将改进算法的计算结果代入传统的列表试算法中进行验证,计算结果表明只有个别时段水深值具有微小偏差,改进后的算法具有较高的精度。改进后的算法不仅可以避免传统算法的大量试算,为传统算法提供准确的试算初始点,而且对于类似实际工程的调洪演算具有一定的参考价值。
為瞭探究涵閘進口水位-流量關繫未知且外江潮水對內江洪水具有頂託作用的調洪縯算過程,在傳統的列錶試算方法基礎上提齣瞭單時段內根據涵閘運行原則且基于拉格朗日n次插值多項式的洩流前及洩流後容積水深插值調洪算法,為瞭計算方便,採用C++編寫拉格朗日插值程序。將改進算法的計算結果代入傳統的列錶試算法中進行驗證,計算結果錶明隻有箇彆時段水深值具有微小偏差,改進後的算法具有較高的精度。改進後的算法不僅可以避免傳統算法的大量試算,為傳統算法提供準確的試算初始點,而且對于類似實際工程的調洪縯算具有一定的參攷價值。
위료탐구함갑진구수위-류량관계미지차외강조수대내강홍수구유정탁작용적조홍연산과정,재전통적렬표시산방법기출상제출료단시단내근거함갑운행원칙차기우랍격랑일n차삽치다항식적설류전급설류후용적수심삽치조홍산법,위료계산방편,채용C++편사랍격랑일삽치정서。장개진산법적계산결과대입전통적렬표시산법중진행험증,계산결과표명지유개별시단수심치구유미소편차,개진후적산법구유교고적정도。개진후적산법불부가이피면전통산법적대량시산,위전통산법제공준학적시산초시점,이차대우유사실제공정적조홍연산구유일정적삼고개치。
In order to explore the culvert imported water-flood routing process flow relationship is unknown and outside the river flood tide of internal River with backwater effects in the traditional method based on the trial list proposed culvert running within a single period in accordance with the principles and pull-based n times before Lagrange polynomial interpolation and after discharge volume discharge flood water depth inter-polation algorithm,in order to facilitate the calculation,using C++ to write Lagrange interpolation procedure. The results will be improved algorithm into the traditional list of validated test algorithm ,the results show that the depth values only individual sessions with a slight deviation ,the improved algorithm has a higher accuracy. The improved algorithm can not only avoid a lot of the traditional algorithm spreadsheets ,which provides ac-curate starting point for the traditional algorithms ,but also has a certain reference value for flood routing simi-lar to the actual project.