# A Novel Semi-Explicit Spatially Fourth Order Accurate Projection Method for Unsteady Incompressible Viscous Flows

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### "A Novel Semi-Explicit Spatially Fou..." refers background or methods in this paper

...[35], are found to be negligible for the grid spacing beyond 1 84....

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...[35] when the fourth order accurate spatial discretization is replaced with the second order counterpart....

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...The streamlines and vorticity contours for this case, shown in Figures 10a and 10b, respectively, are found to have captured all essential patterns that are reported in an earlier work [35] for this Re, but with a grid size of 256 256....

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2,649 citations

### "A Novel Semi-Explicit Spatially Fou..." refers methods in this paper

...This approach is feasible through the usage of the fractional step based projection method which was first proposed in reference [13]; wherein, the pressure gradient term is eliminated while solving momentum equations to compute pseudovelocity field....

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908 citations

### "A Novel Semi-Explicit Spatially Fou..." refers background in this paper

...The conservation properties of these forms in terms of mass, momentum, and kinetic energy have been discussed in reference [23]....

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...Previous works [23, 25], signify that the higher order spatial accuracy pays penalty in terms of shrinking the CFL limit....

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...In addition, it is pointed out in references [23, 24], when the skew symmetric form of NOMENCLATURE...

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776 citations

### "A Novel Semi-Explicit Spatially Fou..." refers methods in this paper

...The fractional step method recommended by reference [31] is responsible for generating these high order solutions....

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...The purpose of this work is to test the utility of a semi-explicit fractional step method, suggested by reference [31], when combined with advantages of matrix form of compact finite-difference schemes....

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