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Introduction to Numerical Hydrodynamics<br />

2. The Linear Advection Equation<br />

2.6 PLM and Non-linear Schemes

The Orion nebula, a naked-eye H II region

ASTRONOMY - Uppsala Astronomical Observatory

Sammanfattning av seminarierna (pdf) - Uppsala universitet

Big Bang - Uppsala Astronomical Observatory - Uppsala universitet

Introduction to Numerical Hydrodynamics 2. The Linear Advection Equation 2.6 PLM and Non-linear Schemes

Linear Advection – The Story So Far ... first order schemes: modified equation: advection-diffusion equation ∂ ∂t u ∂ ∂ x = D ∂2 ∂ x 2 → diffusive behaviour of the numerical solution

Page 1: Introduction to Numerical Hydrodyna
Page 5 and 6: Numerical Schemes ... Alternatives
Page 7 and 8: Update Formula in Conservation Form
Page 9 and 10: Improving Advection - RSA Algorithm
Page 11 and 12: PLM Schemes - Examples of Slopes Th
Page 13 and 14: PLM Schemes - Examples of Slopes Ex
Page 15 and 16: PLM Schemes - Examples of Slopes Ex
Page 17 and 18: PLM Schemes - Examples of Slopes Ex
Page 19 and 20: PLM Schemes - Slope-Limiter The dis
Page 21 and 22: PLM Scheme with van Leer Slope-Limi
Page 23 and 24: PPM Scheme ∂ y ∂t = D ∂2 y

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