Three-dimensional finite difference model for transport of conservative pollutants

Sankaranarayanan, S.; Shankar, N. Jothi; Cheong, Hin‐Fatt

doi:10.1016/s0029-8018(97)00008-5

Cited by 36 publications

(24 citation statements)

References 15 publications

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“…There is not a significant difference between the ADESS results and the Ref. [12]. However, when the problem is solved with the LaxÀWendrof scheme, a result which is in good agreement with the analytical solution is obtained, as can be seen in Figure 4c.…”

Section: Examplesupporting

confidence: 65%

“…The problem is solved by using a third-order upwind difference scheme using Ref. [12]. There is not a significant difference between the ADESS results and the Ref.…”

Section: Examplementioning

confidence: 99%

“…This model was validated by comparing the results obtained with analytical solutions in the case of transport of a Gaussian pulse in unsteadies a non-uniform flow. Sankaranarayanan et al [12] has used a third-order upwind difference scheme as given by Kowalik and Murty [13] for the advective terms of ADE.…”

Section: Introductionmentioning

confidence: 99%

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Solution of weighted finite difference techniques with the advection–diffusion equation using spreadsheets

Karahan

2008

Comp Applic In Engineering

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This study proposes one-dimensional advectionÀdiffusion equation (ADE) with finite differences method (FDM) using spreadsheet simulation (ADESS). By changing only the values of weighted parameter with ADESS model, solutions are obtained for the FTSC, Upwind and LaxÀWendroff schemes. Two examples which, have the numerical and analytical solutions in literature, are solved in order to test the proposed model. Both examples are solved for three schemes. It has been determined that the LaxÀWendroff scheme is in good agreement with the analytical solution; however the results of FTSC is lower than the analytical solution and the Upwind scheme is higher than the analytical solution. Moreover, it has been obtained that the model accuracy is higher than that of the other models in literature, when the results of the ADESS model are compared with the numerical solutions. Results showed that by changing the input parameters in the ADESS model, the results of the model may easily be examined graphically.

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Section: Examplesupporting

confidence: 65%

“…The problem is solved by using a third-order upwind difference scheme using Ref. [12]. There is not a significant difference between the ADESS results and the Ref.…”

Section: Examplementioning

confidence: 99%

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Solution of weighted finite difference techniques with the advection–diffusion equation using spreadsheets

Karahan

2008

Comp Applic In Engineering

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“…The solid lines correspond to the results calculated by wave-induced current model, and the circles correspond to experimental results. The discrepancies between the observed and model-predicted results, especially at the position before wave breaking, are in uenced by the parameters of dispersion coe cient in Equation (22). The spectral sea state was obtained by using Wen spectrum in the calculation of irregular wave propagation, while the Wen spectrum was proposed based on the ÿeld data in the near-shore zone of China [24].…”

Section: Wave-induced Long-shore Currentmentioning

confidence: 99%

“…Equation (32) indicates an analytical solution for solving the two-dimensional convectiondi usion equation in a rectangular region the concentration C(x; y; t) at a given time t for a point source pollutant placed at the centre of the domain (x 0 ; y 0 ) [22] C(x; y; t) = K…”

mentioning

confidence: 99%

Numerical simulation of pollutant transport acted by wave for a shallow water sea bay

Sun

Tao

2005

Numerical Methods in Fluids

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SUMMARYA numerical model of pollutant transport acted by water waves on a shallow-water mild-slope beach is established in this study. The numerical model is combined with a wave propagation model, a multiple wave-breaking model, a wave-induced current model and a pollutant convection-dispersion model. The wave propagation model is based on the higher-order approximation of parabolic mild-slope equation which can be used to simulate the wave refraction, di raction and breaking in a large area of near-shore zone combined with the wave-breaking model. The wave-induced current model is established using the concept of the radiation stress and considering the e ect of bottom resistance caused by waves. The numerical model is veriÿed by laboratory experiment results of regular and irregular waves over two mild beaches with di erent slopes. The numerical results agree well with experimental results.The numerical model has been applied in the near-shore zone of Bohai bay in China. It is concluded that pollutant transport parallel to the shoreline due to the action of waves, which will induce serious pollution on the beach.

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Some Difference Algorithms for Nonlinear Klein-Gordon Equations

Zeytinoğlu

Sarı

2019

Numerical Methods and Applications

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Three-dimensional finite difference model for transport of conservative pollutants

Cited by 36 publications

References 15 publications

Solution of weighted finite difference techniques with the advection–diffusion equation using spreadsheets

Solution of weighted finite difference techniques with the advection–diffusion equation using spreadsheets

Numerical simulation of pollutant transport acted by wave for a shallow water sea bay

Some Difference Algorithms for Nonlinear Klein-Gordon Equations

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