Difference between revisions of "Bedrock Channel Evolution"

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== 3D Bedrock Channel Evolution with Smoothed Particle Hydrodynamics Coupled to a Finite Element Earth ==
 
== 3D Bedrock Channel Evolution with Smoothed Particle Hydrodynamics Coupled to a Finite Element Earth ==
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An enduring obstacle to reliable modeling of the short and long-term evolution of the stream channel-hillslope ensemble has been the difficulty of estimating stresses generated by stream hydrodynamics. To capture the influence of complex three-dimensional (3D) flows on bedrock channel evolution, we derive the contribution of hydrodynamic stresses to the stress state of the underlying bedrock through a Smoothed Particle Hydrodynamics (SPH) approximation of the Navier-Stokes equations as calculated by the DualSPHysics code (Crespo et al., 2015). Capturing the 3D component of complex flows with SPH provides a more complete description of the stream channel-hillslope ensemble than traditional 1D shear stress derived from hydraulic estimates. Coupling the SPH flow solutions to the stress-strain formulation of the Failure Earth Response Model (FERM) (Koons et al., 2013) provides three-dimensional erosion as a function of the strength-stress ratio of each point in the computational domain. From the coupling of SPH and FERM we gain a 3D physics-based erosion scheme and a two-way link between complex flows and hillslope dynamics in a finite element framework. This novel approach robustly approximates the geomorphic response of bedrock channels with complex geometries and lithologies.
 
An enduring obstacle to reliable modeling of the short and long-term evolution of the stream channel-hillslope ensemble has been the difficulty of estimating stresses generated by stream hydrodynamics. To capture the influence of complex three-dimensional (3D) flows on bedrock channel evolution, we derive the contribution of hydrodynamic stresses to the stress state of the underlying bedrock through a Smoothed Particle Hydrodynamics (SPH) approximation of the Navier-Stokes equations as calculated by the DualSPHysics code (Crespo et al., 2015). Capturing the 3D component of complex flows with SPH provides a more complete description of the stream channel-hillslope ensemble than traditional 1D shear stress derived from hydraulic estimates. Coupling the SPH flow solutions to the stress-strain formulation of the Failure Earth Response Model (FERM) (Koons et al., 2013) provides three-dimensional erosion as a function of the strength-stress ratio of each point in the computational domain. From the coupling of SPH and FERM we gain a 3D physics-based erosion scheme and a two-way link between complex flows and hillslope dynamics in a finite element framework. This novel approach robustly approximates the geomorphic response of bedrock channels with complex geometries and lithologies.
  
 
<pdf width="1280" height="1050">File:NWRichmond AGU VPS 2018.pdf</pdf>
 
<pdf width="1280" height="1050">File:NWRichmond AGU VPS 2018.pdf</pdf>

Revision as of 20:14, 4 April 2018

3D Bedrock Channel Evolution with Smoothed Particle Hydrodynamics Coupled to a Finite Element Earth

An enduring obstacle to reliable modeling of the short and long-term evolution of the stream channel-hillslope ensemble has been the difficulty of estimating stresses generated by stream hydrodynamics. To capture the influence of complex three-dimensional (3D) flows on bedrock channel evolution, we derive the contribution of hydrodynamic stresses to the stress state of the underlying bedrock through a Smoothed Particle Hydrodynamics (SPH) approximation of the Navier-Stokes equations as calculated by the DualSPHysics code (Crespo et al., 2015). Capturing the 3D component of complex flows with SPH provides a more complete description of the stream channel-hillslope ensemble than traditional 1D shear stress derived from hydraulic estimates. Coupling the SPH flow solutions to the stress-strain formulation of the Failure Earth Response Model (FERM) (Koons et al., 2013) provides three-dimensional erosion as a function of the strength-stress ratio of each point in the computational domain. From the coupling of SPH and FERM we gain a 3D physics-based erosion scheme and a two-way link between complex flows and hillslope dynamics in a finite element framework. This novel approach robustly approximates the geomorphic response of bedrock channels with complex geometries and lithologies.