A new interface capturing method for Allen-Cahn type equations based on a flow dynamic approach in Lagrangian coordinates, I. One-dimensional case

Keyphrases

• Dynamic Approach 100%
• Flow Dynamics 100%
• Equation-based 100%
• Lagrangian Coordinates 100%
• New Interface 100%
• Allen-Cahn Equation 100%
• Numerical Results 33%
• Numerical Methods 33%
• Rayleigh 33%
• Approach Flow 33%
• Lagrangian Approach 33%
• Energetic Variational Approach 33%
• Numerical Scheme 33%
• Onsager 33%
• Variational Structure 33%
• Eulerian Coordinates 33%
• Energy Dissipative 33%
• Trajectory Equation 33%

Mathematics

• Dimensional Case 100%
• Lagrangian Coordinate 100%
• Type Equation 100%
• Dynamic Approach 100%
• Variational Approach 33%
• Lagrangian 33%
• Energetics 33%
• Rayleigh 33%
• Numerical Scheme 33%
• Variational Structure 33%
• Mathematical Method 33%

Engineering

• One Dimensional 100%
• Flow Dynamics 100%
• Dimensional Case 100%
• Numerical Methods 33%
• Energetics 33%
• Eulerian Coordinate 33%
• Lagrangian Approach 33%
• Main Advantage 33%
• Numerical Scheme 33%