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Selective Monotonicity Preservation for Scalar Advection

Selective Monotonicity Preservation for Scalar Advection. Global FCT, CFL=1. Selective FCT, CFL=4. Selective FCT only applies flux correction near perceived discontinuities, using WENO-like smoothness indicator.

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Selective Monotonicity Preservation for Scalar Advection

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  1. Selective Monotonicity Preservation for Scalar Advection Global FCT, CFL=1 Selective FCT, CFL=4 • Selective FCT only applies flux correction near perceived discontinuities, using WENO-like smoothness indicator. • Conservative, CFL>1 method using flux-form semi-Lagrangian approach. (Right panel 60% faster than left.)

  2. Selective Monotonicity Preservation for Scalar Advection Global FCT, CFL=1 Selective FCT, CFL=4 • Selective FCT only applies flux correction near perceived discontinuities, using WENO-like smoothness indicator. • Conservative, CFL>1 method using flux-form semi-Lagrangian approach. (Right panel 60% faster than left.)

  3. Chemical concentration in a swirling flow • Preserves smooth extrema and high-order accuracy. • Avoids oscillations near discontinuities. • Avoids negative chemical concentrations. • Semi-Lagrangian flux form for efficiency and global conservation. Line segments show cell interfaces where monotone flux correction is applied based on WENO smoothness metrics.

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