1D Finite Volume Solution Algorithm
By Gary W. Brunner, P.E., D.WRE
Senior Technical Hydraulic Engineer
Hydrologic Engineering Center
A brand new solution algorithm has been developed for 1D
modeling. A Finite-Volume solution
approach, similar to what was added for 2D modeling will be available for 1D
modeling in HEC-RAS version 5.1.
The current 1D Finite Difference solution scheme has the
following deficiencies:
- Cannot handle starting or going dry in a cross section
- Low flow model stability issues with irregular cross section data
- Extremely rapidly rising hydrographs can be difficult to get stable
- Mixed flow regime (i.e. flow transitions) approach is approximate
- Stream junctions do not transfer momentum
The new 1D Finite Volume approach has the following
positive attributes:
- Can start with cross sections completely dry, or they can go dry during a simulation (wetting/drying)
- Very stable for low flow modeling
- Can handle extremely rapidly rising hydrographs without going unstable
- Handles subcritical to supercritical flow, and hydraulic jumps better.
- Junction analysis is performed as a single 2D cell when connecting 1D reaches (continuity and momentum is conserved through the junction).
Additionally, the new 1D Finite Volume approached is
solved in the same matrix as the 2D equations.
Solving in the same matrix allows for faster 1D/2D model solutions and
more accurate flow transfers between 1D and 2D elements. The equations are solved together and all
hydraulic connections are updated together on an iteration by iteration
approach, rather than separately, as in previous versions of HEC-RAS.


![[clip_image002%255B5%255D.jpg]](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhphof-_iABo_4_86nnmE620nlbPloHJuWLxVolf8uKKCz2SVNdImqigPZpUBrG4JZRiFFvozehH9ZCEQ1smNiUFKm5QTbuorTpr7ZMmZReQM8Xpg7xOFL2nH7TOYIASc3bH7q-11v0FjuD/s1600/clip_image002%25255B5%25255D.jpg)