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SMARTSOL〜The NF Preconditioning

SMARTSOL〜The NF Preconditioning

NF前処理編をお送りします。極く一般的なILU前処理に比べ格段に優れた発想とつくづく思う。俺的には最も気に入っている前処理法。考案者に乾杯です。This is the practical lecture course about the NF preconditioning method. A comparison with a very common ILU preconditioning would lead me to reassure the NF preconditioning extremely superior method. This is my favorite preconditioning. I wish to toast the the inventor for creating this superb factorization algorithm.

SMARTSOL〜Test Matrix

SMARTSOL〜Test Matrix

先般紹介した”SMARTSOL” Matrix Solverのコーディング編の開始です。Matrix Solverとは、油層内媒体を移動する流体の物質収支を偏微分方程式(Mass Conservation Equation)を線形化し得られる疎な係数行列をもつ連立一次方程式を解くサブルーチンでリザーバーシミュレーションモデルの中核である。当然座学に付きあって頂ける程興味津々なテーマでもないので、先ずは実際にその係数行列を構築して連立一次方程式の解法手順を外観しましょう。実学主体の方が理解しやすいかも。Let’s commence the practical coding for the ”SMARSOL” Matrix Solver introduced earlier. Matrix Solver is the subroutine librares that solve the simultaneous linear equations with a sparse incidence matrix incurred after linearizing the Mass Conservation Equations by the Newton-Rapson method which define the material balance of the fluid movement in the reservoir porous media. It forms the core of the reservoir simulation model. The subject matter is not so exciting enough to study through lectures….

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