发表机构
École Centrale School of Engineering, Mahindra University（马欣德拉大学中央工程学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究提出一种适用于带一般状态方程的相对论流体动力学的保约束AFD-WENO格式，含状态与通量限制器，经数值测试验证其在极端相对论区域具高阶精度、清晰间断分辨率与鲁棒稳定性。
AI 中文摘要
针对带一般状态方程的特殊相对论流体动力学方程，我们开发了一种高阶物理约束保形（PCP）替代有限差分加权本质非振荡（AFD-WENO）格式。该格式包含两个关键限制器：状态限制器作用于WENO状态插值步骤之后，通量限制器作用于最终的高阶通量，二者分别确保插值状态和数值通量符合物理要求。所得格式经严格证明满足物理约束，结合多种WENO插值技术（包括改进的自适应阶数格式WENO-AOI），通过带各类状态方程的大量一维及二维数值基准测试验证，数值结果显示该格式在极端相对论区域具有高阶精度、清晰的间断分辨率及鲁棒稳定性。
英文摘要
We develop a high-order physical-constraint-preserving (PCP) alternative finite difference weighted essentially non-oscillatory (AFD-WENO) scheme for the special relativistic hydrodynamics equations with general equations of state. The proposed scheme comprises two key limiters: a state limiter, which acts after the WENO state interpolation step, and a flux limiter, which acts on the final high-order fluxes. The state limiter ensures that the interpolated states are physically admissible, while the flux limiter ensures that the numerical fluxes are physically admissible. The resulting scheme is rigorously proved to satisfy the physical constraints. Incorporating multiple WENO interpolation techniques, including an improved adaptive-order formulation (WENO-AOI), the method is validated through extensive one- and two-dimensional numerical benchmarks with various equations of state. The numerical results demonstrate high-order accuracy, sharp resolution of discontinuities, and robust stability in extreme relativistic regimes.
