Finite-difference approximations compared for analytically solvable oceanic diffusion
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The diffusive temperature equation is solved analytically and numerically for a simple oceanic case. Errors introduced by various numerical schemes are determined by comparison with the analytical solution. Less error is introduced by the standard differencing scheme than by the DuFort-Frankel scheme. A variable grid scheme produces the least error and the greatest savings in computer core and time. Usefulness of various numerical schemes is situation dependent. Any numerical forecasting technique using initialization data and frequent data updating will need to be verified with adequate field data before it can be considered reliable and used to predict short term (1 to 7 days) events in the ocean.
KeywordsInitialization Data Field Data Difference Scheme Numerical Scheme Frequent Data
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