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![Schematics of <span class="search-highlight">subtime</span> <span class="search-highlight">stepping</span> for integrated surface–subsurface problems: ...]()
![(a) Distribution of water depths in the surface and the water saturations i...]()
![Schematic of the two-dimensional V-shaped catchment. For the <span class="search-highlight">subtime</span> steppi...]()
![Simulated river discharge calculated for the fully-coupled system using two...]()
![Comparison of simulated hydrographs by HydroGeoSphere using two standard ...]()
![Time–pressure head results at the five observation points shown in Fig. 2a...]()
![Simulation of groundwater recharge through macropores. The domain is 2 m de...]()
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1-12 OF 12 RESULTS FOR
subtime stepping
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Journal Article
Implicit Subtime Stepping for Solving Nonlinear Flow Equations in an Integrated Surface–Subsurface System All rights reserved. No part of this periodical may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopying, recording, or any information storage and retrieval system, without permission in writing from the publisher.
Journal: Vadose Zone Journal
Publisher: Soil Science Society of America
Published: 01 November 2009
Vadose Zone Journal (2009) 8 (4): 825–836.
... portion of the domain tends to be temporally overdiscretized. The implicit subtime stepping approach described here can apply smaller subtime steps only to the subdomain where the accuracy requirements are needed. In this work, generalized formulations for implicit subtime stepping in the numerical...
FIGURES
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Image
Schematics of subtime stepping for integrated surface–subsurface problems: ...
in Implicit Subtime Stepping for Solving Nonlinear Flow Equations in an Integrated Surface–Subsurface System All rights reserved. No part of this periodical may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopying, recording, or any information storage and retrieval system, without permission in writing from the publisher.
> Vadose Zone Journal
Published: 01 November 2009
F ig . 1. Schematics of subtime stepping for integrated surface–subsurface problems: (a) typical hydrologic response to a precipitation event is limited to a small portion of the surface and subsurface domain; (b) time step size is restricted by the relatively rapid response in a small portion
Image
(a) Distribution of water depths in the surface and the water saturations i...
in Implicit Subtime Stepping for Solving Nonlinear Flow Equations in an Integrated Surface–Subsurface System All rights reserved. No part of this periodical may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopying, recording, or any information storage and retrieval system, without permission in writing from the publisher.
> Vadose Zone Journal
Published: 01 November 2009
F ig . 6. (a) Distribution of water depths in the surface and the water saturations in the subsurface at the end of the rainfall event ( t = 50 min) for the Abdul (1985) experiment. (b) Simulated discharges at the channel outlet using two standard time stepping and one subtime stepping
Image
Schematic of the two-dimensional V-shaped catchment. For the subtime steppi...
in Implicit Subtime Stepping for Solving Nonlinear Flow Equations in an Integrated Surface–Subsurface System All rights reserved. No part of this periodical may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopying, recording, or any information storage and retrieval system, without permission in writing from the publisher.
> Vadose Zone Journal
Published: 01 November 2009
F ig . 4. Schematic of the two-dimensional V-shaped catchment. For the subtime stepping approach, the low elevation area including the channel is subtimed.
Image
Simulated river discharge calculated for the fully-coupled system using two...
in Implicit Subtime Stepping for Solving Nonlinear Flow Equations in an Integrated Surface–Subsurface System All rights reserved. No part of this periodical may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopying, recording, or any information storage and retrieval system, without permission in writing from the publisher.
> Vadose Zone Journal
Published: 01 November 2009
F ig . 14. Simulated river discharge calculated for the fully-coupled system using two standard time stepping and two subtime stepping approaches.
Image
Comparison of simulated hydrographs by HydroGeoSphere using two standard ...
in Implicit Subtime Stepping for Solving Nonlinear Flow Equations in an Integrated Surface–Subsurface System All rights reserved. No part of this periodical may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopying, recording, or any information storage and retrieval system, without permission in writing from the publisher.
> Vadose Zone Journal
Published: 01 November 2009
F ig . 5. Comparison of simulated hydrographs by HydroGeoSphere using two standard time stepping and one subtime stepping approach and comparison of results obtained by other simulators.
Image
Time–pressure head results at the five observation points shown in Fig. 2a...
in Implicit Subtime Stepping for Solving Nonlinear Flow Equations in an Integrated Surface–Subsurface System All rights reserved. No part of this periodical may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopying, recording, or any information storage and retrieval system, without permission in writing from the publisher.
> Vadose Zone Journal
Published: 01 November 2009
F ig . 3. Time–pressure head results at the five observation points shown in Fig. 2a from two standard time stepping and one subtime stepping simulations.
Image
Simulation of groundwater recharge through macropores. The domain is 2 m de...
in Implicit Subtime Stepping for Solving Nonlinear Flow Equations in an Integrated Surface–Subsurface System All rights reserved. No part of this periodical may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopying, recording, or any information storage and retrieval system, without permission in writing from the publisher.
> Vadose Zone Journal
Published: 01 November 2009
F ig . 2. Simulation of groundwater recharge through macropores. The domain is 2 m deep and 2 m wide and a 1-cm-wide macropore is located in the middle: (a) for the subtime stepping simulation, the upper part of the macropore and their matrix neighbor nodes are subtimed (ψ, pressure head; t
Journal Article
Coupled Surface–Subsurface Modeling across a Range of Temporal and Spatial Scales All rights reserved. No part of this periodical may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopying, recording, or any information storage and retrieval system, without permission in writing from the publisher.
Journal: Vadose Zone Journal
Publisher: Soil Science Society of America
Published: 01 November 2009
Vadose Zone Journal (2009) 8 (4): 823–824.
... . 2009 . Implicit subtime stepping for solving nonlinear flow equations in an integrated surface–subsurface system . Vadose Zone J . 8 : 825 – 836 (this issue) Qu , Y. , and C.J. Duffy . 2007 . A semidescrete finite volume formulation for multiprocess watershed simulation . Water...
Journal Article
Coupled geomechanics and flow simulation for time-lapse seismic modeling
Journal: Geophysics
Publisher: Society of Exploration Geophysicists
Published: 01 January 2004
Geophysics (2004) 69 (1): 200–211.
... only one time step for this time interval (or at least it will likely take different subtime steps relative to the flow simulator time step sequence). The mechanics calculation is quasi-static, nonlinear, and time independent. In these calculations, we have no time-dependent material response...
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Journal Article
How Does Thermal Pressurization of Pore Fluids Affect 3D Strike‐Slip Earthquake Dynamics and Ground Motions?
Publisher: Seismological Society of America
Published: 10 May 2023
Bulletin of the Seismological Society of America (2023) 113 (5): 1992–2008.
... scheme. However, such FD methods require small time steps and large memory due to the interpolation between major time steps, which involves storing the slip history at all subtime steps. The spectral method ( Noda and Lapusta, 2010 ) allows for larger timesteps, has small numerical errors, and is memory...
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Includes: Supplemental Content
Journal Article
What Is the Use of the History of Geology to a Practicing Geologist? The Propaedeutical Case of Stratigraphy
Journal: The Journal of Geology
Publisher: The University of Chicago Press
Published: 01 November 2016
The Journal of Geology (2016) 124 (6): 643–698.
....” The very name of stratigraphy comes from strata, but what it does is simply deduce temporal relations from spatial relations of rock bodies, including fossils, by making certain assumptions about processes, that is, invoking inevitably a hypothetical step. What we have learned from looking at the history...
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Includes: Supplemental Content
