High resolution finite volume scheme for the quantum hydrodynamic equations

DOI10.1016/j.jcp.2008.11.007zbMath1409.76152OpenAlexW2001120802MaRDI QIDQ1005412

Jia-Yi Yeh, Jiun-Yeu Chen, Chin-Tien Lin

Publication date: 9 March 2009

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2008.11.007

zbMATH Keywords

finite volume methodquantum fluid dynamicsMOCquantum nanojet

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Statistical mechanics of superfluids (82D50) Quantum hydrodynamics and relativistic hydrodynamics (76Y05)

Related Items (4)

On a posteriori estimation of the approximation error norm for an ensemble of independent solutions ⋮ On a posteriori error estimation using distances between numerical solutions and angles between truncation errors ⋮ Estimation of the distance between true and numerical solutions ⋮ The estimation of approximation error using inverse problem and a set of numerical solutions

Cites Work

• Unnamed Item
• Upwind finite-volume method with a triangular mesh for conservation laws
• Approximate Riemann solvers, parameter vectors, and difference schemes
• Multivariate radial basis interpolation for solving quantum fluid dynamical equations
• Trajectory method for the time-dependent Schrödinger and Thomas-Fermi equations
• Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
• Total variation diminishing Runge-Kutta schemes
• Quantum fluid mechanical and electronic structure of a hydrogen-like atom
• A Suggested Interpretation of the Quantum Theory in Terms of "Hidden" Variables. I
• Proof That Probability Density Approaches<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mo>|</mml:mo><mml:mi>ψ</mml:mi><mml:mo>|</mml:mo></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>in Causal Interpretation of the Quantum Theory

This page was built for publication: High resolution finite volume scheme for the quantum hydrodynamic equations