V2EX riemann solver

Riemann Solver

释义 Definition

Riemann solver(黎曼求解器):数值计算中用来近似求解双曲型守恒律方程在“黎曼问题”(初值为左右分段常数、在界面处出现不连续)下的局部波结构与通量的方法,常用于有限体积法计算流体力学(CFD)中的通量计算。该术语也可泛指一类算法(精确或近似)。

发音 Pronunciation (IPA)

/rimn slvr/

词源 Etymology

Riemann 源自德国数学家 Bernhard Riemann(黎曼) 的姓氏;在偏微分方程与流体力学数值方法中,“黎曼问题”是研究间断传播(如激波、稀疏波、接触间断)的经典模型。solver 意为“求解器/解算器”,合起来指“用于解黎曼问题的算法/模块”。

例句 Examples

We used a Riemann solver to compute the flux at each cell boundary.
我们使用黎曼求解器来计算每个网格单元边界处的通量。

An approximate Riemann solver like HLLC can capture shock waves more robustly while keeping the scheme stable and efficient.
像 HLLC 这样的近似黎曼求解器能够更稳健地捕捉激波,同时保持数值格式的稳定与高效

相关词 Related Words

文献与作品 Literary / Notable Works

  • Riemann Solvers and Numerical Methods for Fluid Dynamics(E. F. Toro)
  • Finite Volume Methods for Hyperbolic Problems(Randall J. LeVeque)
  • Godunov-type schemes 相关经典论文与教材(讨论以黎曼求解为核心的守恒律数值格式)
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