\contentsline {chapter}{\numberline {第1章}数値計算の概要}{3}
\contentsline {section}{\numberline {1.1}格子と変数の配置}{3}
\contentsline {section}{\numberline {1.2}空間, 時間方向の離散化の方法}{3}
\contentsline {chapter}{\numberline {第2章}空間方向の離散化}{5}
\contentsline {section}{\numberline {2.1}平均操作}{5}
\contentsline {section}{\numberline {2.2}空間微分の離散化}{6}
\contentsline {subsection}{\numberline {2.2.1}2 次精度中心差分}{6}
\contentsline {subsection}{\numberline {2.2.2}4 次精度中心差分}{7}
\contentsline {section}{\numberline {2.3}空間離散化した基礎方程式}{8}
\contentsline {subsection}{\numberline {2.3.1}静水圧の式}{8}
\contentsline {subsection}{\numberline {2.3.2}運動方程式}{8}
\contentsline {subsection}{\numberline {2.3.3}圧力方程式}{8}
\contentsline {subsection}{\numberline {2.3.4}熱力学の式}{9}
\contentsline {subsection}{\numberline {2.3.5}凝縮成分の混合比の保存式}{9}
\contentsline {section}{\numberline {2.4}境界条件}{10}
\contentsline {subsection}{\numberline {2.4.1}周期境界条件の与え方}{10}
\contentsline {subsection}{\numberline {2.4.2}すべりなし条件の与え方}{10}
\contentsline {subsection}{\numberline {2.4.3}応力なし条件の与え方}{11}
\contentsline {chapter}{\numberline {第3章}時間方向の離散化}{12}
\contentsline {section}{\numberline {3.1}運動方程式と圧力方程式}{12}
\contentsline {subsection}{\numberline {3.1.1}音波に関連する項の時間方向の離散化}{13}
\contentsline {subsubsection}{水平方向の運動方程式の離散化}{13}
\contentsline {subsubsection}{鉛直方向の運動方程式と圧力方程式の離散化}{13}
\contentsline {subsubsection}{境界条件}{14}
\contentsline {subsubsection}{圧力方程式の時間積分方法}{15}
\contentsline {subsection}{\numberline {3.1.2}音波に関連しない項の時間方向の離散化}{17}
\contentsline {section}{\numberline {3.2}熱力学の式と混合比の保存式の離散化}{18}
\contentsline {subsection}{\numberline {3.2.1}湿潤飽和調節法}{20}
\contentsline {subsubsection}{飽和蒸気圧を用いる場合}{20}
\contentsline {subsubsection}{圧平衡定数を用いる場合}{21}
\contentsline {section}{\numberline {3.3}乱流運動エネルギーの式}{22}
\contentsline {section}{\numberline {3.4}時間フィルター}{23}
\contentsline {section}{\numberline {3.5}スポンジ層}{24}
\contentsline {chapter}{\numberline {第4章}参考文献}{25}
\contentsline {chapter}{\numberline {付 録A }圧力方程式 (3.9\relax ) の左辺の空間微分の書き下し}{26}
\contentsline {section}{\numberline {A.1}下部境界}{26}
\contentsline {section}{\numberline {A.2}上部境界}{27}
\contentsline {chapter}{\numberline {付 録B }音波減衰項について}{29}
\contentsline {chapter}{\numberline {付 録C }差分式の導出と誤差}{31}
\contentsline {section}{\numberline {C.1}2 次精度中心差分}{31}
\contentsline {section}{\numberline {C.2}4 次精度中心差分}{32}
\contentsline {chapter}{\numberline {付 録D }湿潤飽和調節法の定式化}{34}
\contentsline {chapter}{\numberline {付 録E }化学物性値の計算法}{36}
\contentsline {section}{\numberline {E.1}相平衡条件}{36}
\contentsline {subsection}{\numberline {E.1.1}飽和蒸気圧}{36}
\contentsline {subsection}{\numberline {E.1.2}圧平衡定数}{36}
\contentsline {section}{\numberline {E.2}生成のエンタルピー変化}{37}
\contentsline {subsection}{\numberline {E.2.1}潜熱}{37}
\contentsline {subsection}{\numberline {E.2.2}反応熱}{37}
\contentsline {chapter}{\numberline {付 録F }単位の換算等の計算}{39}
\contentsline {section}{\numberline {F.1}混合比とモル比(分圧)との換算式}{39}
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謝辞