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Table 8: Comparison for various results for U=2.5 m/s 4. Discretization Algorithm for Finite Difference Method

Table 8 Comparison for various results for U=2.5 m/s 4. Discretization Algorithm for Finite Difference Method

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Figure 1: P is a general point around which discussions takes place, W and E are west and east nodal points respectively
Figure 1: P is a general point around which discussions takes place, W and E are west and east nodal points respectively
Table 1: The solution of problem by central differencing scheme for u=0.1 Solution of Example (1) by Central Differencing Scheme
Table 1: The solution of problem by central differencing scheme for u=0.1 Solution of Example (1) by Central Differencing Scheme
Figure 2: Discretization using five nodal points for Example (1)
Figure 2: Discretization using five nodal points for Example (1)
Table2: The solution of problem by central differencing scheme for u=2.5
Table2: The solution of problem by central differencing scheme for u=2.5
Figure 3: Discretization technique for upwinding differencing scheme Figure 2 those for the negative direction. When the flow is in positive direction, u,, > O,u, > O(F,, > 0, F, > 0), the upwind schemes sets
Figure 3: Discretization technique for upwinding differencing scheme Figure 2 those for the negative direction. When the flow is in positive direction, u,, > O,u, > O(F,, > 0, F, > 0), the upwind schemes sets
Figure 4: Discretization Technique for Upwinding Differencing Scheme for Example (1) Now the discretized equation is
Figure 4: Discretization Technique for Upwinding Differencing Scheme for Example (1) Now the discretized equation is
Table 7: Determination of coefficients aw, aE, Sp, Su and aP for U=2.5 m/s scheme provide better convergence. In this case, the coefficients are given below:
Table 7: Determination of coefficients aw, aE, Sp, Su and aP for U=2.5 m/s scheme provide better convergence. In this case, the coefficients are given below:
Table 4: Determination of coefficients aw, aE, Sp, Su and aP
Table 4: Determination of coefficients aw, aE, Sp, Su and aP
Table 3: Determination of coefficients aw, aE, Sp and Su
Table 3: Determination of coefficients aw, aE, Sp and Su
Table 9: Comparison for various results for U=0.1 m/s Table 10: Comparison for various results for U=2.5 m/s On the basis of above discussion, we now solve the given convection dominated diffusion problem in Example (1) by finite difference method for
Table 9: Comparison for various results for U=0.1 m/s Table 10: Comparison for various results for U=2.5 m/s On the basis of above discussion, we now solve the given convection dominated diffusion problem in Example (1) by finite difference method for
Figure 5: Convergence criteria for various methods for U=0.1 The graphical result of Table 9 and Table 10 are shown in fig. 5 which describes convergence criteria for various methods
Figure 5: Convergence criteria for various methods for U=0.1 The graphical result of Table 9 and Table 10 are shown in fig. 5 which describes convergence criteria for various methods
Figure 6: Convergence criteria for various methods for U=2.5
Figure 6: Convergence criteria for various methods for U=2.5
Related topics:
MathematicsFinite Volume MethodConvection Diffusion Equation
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