Numerical Simulation of Positive Surge
Moving Upstream
Yatindra Kumar, Dhrubajyoti Sen, V. R. Desai, and Abhranil Adak
Abstract The study is focused on numerical simulation of one-dimensional
unsteady flow in open channels using MacCormack Scheme. This scheme is an
explicit numerical method for simulating one-dimensional and two-dimensional
unsteady flow. This study is focused on depth and velocity variation in different
sections of a rectangular flume at different time intervals. A series of experiments
were performed on a multipurpose tilting flume on two different slopes viz., (a)
nearly horizontal (zero slope) and (b) 3% slope. Experimental results are compared
with the results of a computer program developed on the FORTRAN 90–95 programming language for simulating the MacCormack scheme. Results obtained from the
developed code show comparable trends with the experimental result.
Keywords Depth variation · MacCormack scheme · Multipurpose tilting flume ·
Positive surge · Velocity variation
Notations
A Cross section area
F Vector comprising of A, g, V and y
g Acceleration due to gravity
Y. Kumar (B)
Punjab Engineering College (Deemed to be University), Chandigarh, India
e-mail: yatindra.iitcivil@gmail.com
D. Sen · V. R. Desai
Indian Institute of Technology, Kharagpur, India
e-mail: djsen.iit@gmail.com
V. R. Desai
e-mail: venkapd@gmail.com
A. Adak
Sikkim Manipal Institute of Technology, Sikkim, India
e-mail: abhranil2001@gmail.com
© Springer Nature Singapore Pte Ltd. 2021
C. Bhuiyan et al. (eds.), Water Security and Sustainability,
Lecture Notes in Civil Engineering 115,
https://doi.org/10.1007/978-981-15-9805-0_24
283
Moving Upstream
Yatindra Kumar, Dhrubajyoti Sen, V. R. Desai, and Abhranil Adak
Abstract The study is focused on numerical simulation of one-dimensional
unsteady flow in open channels using MacCormack Scheme. This scheme is an
explicit numerical method for simulating one-dimensional and two-dimensional
unsteady flow. This study is focused on depth and velocity variation in different
sections of a rectangular flume at different time intervals. A series of experiments
were performed on a multipurpose tilting flume on two different slopes viz., (a)
nearly horizontal (zero slope) and (b) 3% slope. Experimental results are compared
with the results of a computer program developed on the FORTRAN 90–95 programming language for simulating the MacCormack scheme. Results obtained from the
developed code show comparable trends with the experimental result.
Keywords Depth variation · MacCormack scheme · Multipurpose tilting flume ·
Positive surge · Velocity variation
Notations
A Cross section area
F Vector comprising of A, g, V and y
g Acceleration due to gravity
Y. Kumar (B)
Punjab Engineering College (Deemed to be University), Chandigarh, India
e-mail: yatindra.iitcivil@gmail.com
D. Sen · V. R. Desai
Indian Institute of Technology, Kharagpur, India
e-mail: djsen.iit@gmail.com
V. R. Desai
e-mail: venkapd@gmail.com
A. Adak
Sikkim Manipal Institute of Technology, Sikkim, India
e-mail: abhranil2001@gmail.com
© Springer Nature Singapore Pte Ltd. 2021
C. Bhuiyan et al. (eds.), Water Security and Sustainability,
Lecture Notes in Civil Engineering 115,
https://doi.org/10.1007/978-981-15-9805-0_24
283