Numerical simulation of a one-dimensional water-quality model in a stream using a Saulyev technique with quadratic interpolated initial-boundary conditions

DOI10.1155/2018/1926519zbMath1470.76069OpenAlexW2789517979MaRDI QIDQ1667591

Nopparat Pochai, Pawarisa Samalerk

Publication date: 30 August 2018

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2018/1926519

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (3)

A one-dimensional mathematical simulation to salinity control in a river with a barrage dam using an unconditionally stable explicit finite difference method ⋮ Unnamed Item ⋮ Finite volume method for a time-dependent convection-diffusion-reaction equation with small parameters

Uses Software

• SHASTA

Cites Work

• A numerical treatment of nondimensional form of water quality model in a nonuniform flow stream using Saulyev scheme
• Simple, accurate, and efficient revisions to MacCormack and Saulyev schemes: high Péclet numbers
• An efficient split-operator scheme for 2-D advection-diffusion simulations using finite elements and characteristics
• A stable and accurate convective modelling procedure based on quadratic upstream interpolation
• Numerical schemes for one-dimensional parabolic equations with nonstandard initial condition.
• Unconditional stable numerical techniques for a water-quality model in a non-uniform flow stream
• Numerical treatment of a modified MacCormack scheme in a nondimensional form of the water quality models in a nonuniform flow stream
• Analytical solution to a hydrodynamic model in an open uniform reservoir
• An unconditionally positivity preserving scheme for advection-diffusion reaction equations
• Fractional step algorithm for estuarine mass transport
• A third-order semi-implicit finite difference method for solving the one-dimensional convection-diffusion equation
• Flux-corrected transport. I: SHASTA, a fluid transport algorithm that works

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