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A Non-oscillatory Forward in Time Formulation for Incompressible Fluid Flows

This paper presents a Non-Oscillatory Forward Time (NFT) formulation for simulating incompressible fluid flows. Utilizing an explicit implicit framework, the NFT framework is enhanced through the application of a non-symmetric Krylov subspace elliptic solver (P.K. Smolarkiewicz et al., Monthly Weather Review, 1993). We analyze governing equations including continuity and momentum equations, particularly focusing on flow over a cylinder under various Reynolds numbers. Key findings include accurate predictions of drag and lift coefficients and pressure distributions, contributing to turbulence validation and computational efficiency.

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A Non-oscillatory Forward in Time Formulation for Incompressible Fluid Flows

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  1. A Non-oscillatory Forward in Time Formulation for Incompressible Fluid Flows Joanna Szmelter, Pradeep K Manickam

  2. NFT Framework For the generic equation The NFT framework is written as Explicit Implicit (non-symmetric Krylov subspace elliptic solver) (P.K.Smolarkiewicz et.al., Monthly weather review,1993)

  3. Governing Equations Continuity equation Momentum equation

  4. Flow over a cylinder Slip boundary Outlet Inlet Slip boundary No slip boundary

  5. Computational mesh Triangular Hybrid

  6. Velocity contours Reynolds number 20 Reynolds number 40

  7. Pressure coefficient Reynolds number 20 Reynolds number 40

  8. Periodic vortex shedding at Reynolds number 100

  9. Drag and lift coefficients Reynolds number 100 Reynolds number 200 Reynolds number 300

  10. Drag Coefficient

  11. Strouhal number

  12. Summary The NFT MPDATA edge based solver shows good agreement for the initial computations. The next stage includes further validation for turbulent flows.

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