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수질관리 및 모델링. 환경공학과 3 학년 20041429 노지훈. 1. Modify program 3.BAS and execute using QB Compiler for the problems listed as follows: 1) Explain the numerical algorithm for the methods listed as follows : 2) Implement the following jobs for the program 3.BAS given in the class.

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### 수질관리 및 모델링

환경공학과 3학년

20041429

노지훈

• 1. Modify program 3.BAS and execute using QB Compiler for the problems listed as follows:

• 1) Explain the numerical algorithm for the methods listed as follows :

• 2) Implement the following jobs for the program 3.BAS given in the class.

• (1) Explain the every line of the source program 3.BAS.

• (2) Modify and make the detailed comment in the program by Visual Basic.

• (3) Compile, link, and execute the program using the given data.

• 3) Make and implement the following jobs for the 3.xls.

• (1) Understand the excel program.

• (2) Implement the computation procedure of GCN algorithm using the excel program.

• (3) Compare the result with Fortran program.

• 4) Understand and modify the post-processing subroutine.

• (1) Explain the every line of the source program.

• (2) Compare with the graphical result of excel program.

• 5) Do the stability analysis of GCN.

• 6) Derive the analytical solution of this problem.

1. Modify program 3.BAS and execute using QB Compiler for the problems listed as follows:1) Explain the numerical algorithm for the methods listed as follows :2) Implement the following jobs for the program 3.BAS given in the class.

• 수리학적 알고리즘을 설명하면 다음과 같다.

If K = 0 then Advective Flux

연속방정식

다음과 같은 식으로 나타내어 질 수 있습니다.

3) Make and implement the following jobs for the 3.xls. the problems listed as follows:(1) Understand the excel program.(2) Implement the computation procedure of GCN algorithm using the excel program.

GCN algorithim에 대해서 정리해서 설명하면 다음과 같이 설명되어질 수

있습니다.

The 1-dimensional mass transport equation is expressed as follow :

In GCN, we used time weighting factor to generalize the discretization

method for the time domain. So, forward, backward, and central finite

difference analogue is defined by the following value of time weighting

factor.

The analogue of GCN becomes as follows : the problems listed as follows:

Let's define the following coefficient to consist the Tridiagonal Banded Matrix.

Use the Thomas Algorithm to solve the above system of the problems listed as follows:

simultaneous equations.

After the assembling the above analogue for the whole nodes, the

left hand side matrix becomes Tridiagonal Banded Matrix. In which,

components of each equation are expressed by the following

equation.

다음과 같은 식들로 the problems listed as follows:GCN 알고리즘을 설명할 수 있다

4) Understand and modify the post-processing subroutine. the problems listed as follows:(1) Explain the every line of the source program.(2) Compare with the graphical result of excel program.5) Do the stability analysis of GCN.6) Derive the analytical solution of this problem.

GCN 안정도에 대해서 설명하면 다음과 같다.

위와 같이 GCN 안정도 분석을 수행할 수 있다.