A High-Order Piecewise Polynomial Reconstruction for Finite-Volume Methods Solving Convection and Diffusion Equations

Mathematics

• Finite Volume Method 92%
• Diffusion equation 79%
• Cell 62%
• Higher Order 60%
• Fourth Order 24%
• Extrapolate 20%
• Linear Diffusion 18%
• High Order Accuracy 17%
• Derivative 17%
• Flow Field 16%
• High-order Methods 16%
• Polynomial 14%
• Finite Volume 14%
• Conservation Laws 13%
• Model-based 12%
• Linear equation 11%
• Mesh 11%
• Unknown 9%
• Demonstrate 8%

Engineering & Materials Science

• Finite volume method 93%
• Convection 83%
• Polynomials 65%
• Derivatives 46%
• Conservation 27%
• Flow of fluids 25%
• Flow fields 23%
• Fluxes 22%

Physics & Astronomy

• finite volume method 100%
• polynomials 75%
• convection 72%
• cells 45%
• conservation laws 15%
• fluid flow 13%
• mesh 13%
• flow distribution 11%