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</style><div class="default-font-1751078109019" dir="ltr"><p class="ds-markdown-paragraph" style="margin-top:13.716px;margin-bottom:13.716px;font-size:16.002px;line-height:28.575px;color:#404040;font-family:quote-cjk-patch, Inter, system-ui, -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Noto Sans", Ubuntu, Cantarell, "Helvetica Neue", Oxygen, "Open Sans", sans-serif;text-wrap-mode:wrap;background-color:#FFFFFF;">Dear MITgcm team,</p><p class="ds-markdown-paragraph" style="margin-top:13.716px;margin-bottom:13.716px;font-size:16.002px;line-height:28.575px;color:#404040;font-family:quote-cjk-patch, Inter, system-ui, -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Noto Sans", Ubuntu, Cantarell, "Helvetica Neue", Oxygen, "Open Sans", sans-serif;text-wrap-mode:wrap;background-color:#FFFFFF;">I'm investigating heat budget closure in the <span style="font-weight:600;">default</span> Southern Ocean Reentrant Channel Example (coarse resolution, 30-year run), with focus on heat budget diagnostics. Key findings:</p><h3 style="font-size:18.288px;line-height:1.5;margin:18.288px 0px 13.716px;color:#404040;font-family:quote-cjk-patch, Inter, system-ui, -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Noto Sans", Ubuntu, Cantarell, "Helvetica Neue", Oxygen, "Open Sans", sans-serif;text-wrap-mode:wrap;background-color:#FFFFFF;">1. Heat Budget Non-closure</h3><p class="ds-markdown-paragraph" style="margin-top:13.716px;margin-bottom:13.716px;font-size:16.002px;line-height:28.575px;color:#404040;font-family:quote-cjk-patch, Inter, system-ui, -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Noto Sans", Ubuntu, Cantarell, "Helvetica Neue", Oxygen, "Open Sans", sans-serif;text-wrap-mode:wrap;background-color:#FFFFFF;">All terms converted to °C/s (surface layer) :</p><ul style="margin:13.716px 0px;padding-left:27.432px;color:#404040;font-family:quote-cjk-patch, Inter, system-ui, -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Noto Sans", Ubuntu, Cantarell, "Helvetica Neue", Oxygen, "Open Sans", sans-serif;font-size:16.002px;text-wrap-mode:wrap;background-color:#FFFFFF;"><li><p class="ds-markdown-paragraph" style="line-height:28.575px;"><code style="font-size:0.875em;font-weight:600;font-family:Menlo, "Roboto Mono", "Courier New", Courier, monospace, Inter, sans-serif;background-color:#ECECEC;border-radius:4px;padding:0.15rem 0.3rem;">TOTTEND</code>: ~1e-11</p></li><li style="margin-top:4px;"><p class="ds-markdown-paragraph" style="line-height:28.575px;">Horizontal advection (<code style="font-size:0.875em;font-weight:600;font-family:Menlo, "Roboto Mono", "Courier New", Courier, monospace, Inter, sans-serif;background-color:#ECECEC;border-radius:4px;padding:0.15rem 0.3rem;">ADVx_TH+ADVy_TH</code>): ~1e-5</p></li><li style="margin-top:4px;"><p class="ds-markdown-paragraph" style="line-height:28.575px;">Vertical advection (<code style="font-size:0.875em;font-weight:600;font-family:Menlo, "Roboto Mono", "Courier New", Courier, monospace, Inter, sans-serif;background-color:#ECECEC;border-radius:4px;padding:0.15rem 0.3rem;">ADVr_TH</code>): ~1e-6</p></li><li style="margin-top:4px;"><p class="ds-markdown-paragraph" style="line-height:28.575px;">Diffusion (<code style="font-size:0.875em;font-weight:600;font-family:Menlo, "Roboto Mono", "Courier New", Courier, monospace, Inter, sans-serif;background-color:#ECECEC;border-radius:4px;padding:0.15rem 0.3rem;">DFxE_TH+DFyE_TH+DFrE_TH</code>): ~1e-23</p></li><li style="margin-top:4px;"><p class="ds-markdown-paragraph" style="line-height:28.575px;">Forcing (<code style="font-size:0.875em;font-weight:600;font-family:Menlo, "Roboto Mono", "Courier New", Courier, monospace, Inter, sans-serif;background-color:#ECECEC;border-radius:4px;padding:0.15rem 0.3rem;">gTforc+oceQsw</code>): ~1e-6</p></li><li style="margin-top:4px;"><p class="ds-markdown-paragraph" style="line-height:28.575px;"><span style="font-weight:600;">Residual (TOTTEND-RHS)</span>: ~1e-5 (≈horizontal advection magnitude)</p></li><li style="margin-top:4px;"><p class="ds-markdown-paragraph" style="line-height:28.575px;">Any layer is not closed (residual≈horizontal advection magnitude)</p></li></ul><p class="ds-markdown-paragraph" style="margin-top:13.716px;margin-bottom:13.716px;font-size:16.002px;line-height:28.575px;color:#404040;font-family:quote-cjk-patch, Inter, system-ui, -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Noto Sans", Ubuntu, Cantarell, "Helvetica Neue", Oxygen, "Open Sans", sans-serif;text-wrap-mode:wrap;background-color:#FFFFFF;"><span style="font-weight:600;">Questions:</span></p><ol start="1" style="margin:13.716px 0px;padding-left:27.432px;color:#404040;font-family:quote-cjk-patch, Inter, system-ui, -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Noto Sans", Ubuntu, Cantarell, "Helvetica Neue", Oxygen, "Open Sans", sans-serif;font-size:16.002px;text-wrap-mode:wrap;background-color:#FFFFFF;"><li><p class="ds-markdown-paragraph" style="line-height:28.575px;">Shouldheat budget close in this default case?</p></li><li style="margin-top:4px;"><p class="ds-markdown-paragraph" style="line-height:28.575px;">Why does residual match horizontal advection scale? Is this numerical or physical?</p></li></ol><h3 style="font-size:18.288px;line-height:1.5;margin:18.288px 0px 13.716px;color:#404040;font-family:quote-cjk-patch, Inter, system-ui, -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Noto Sans", Ubuntu, Cantarell, "Helvetica Neue", Oxygen, "Open Sans", sans-serif;text-wrap-mode:wrap;background-color:#FFFFFF;">2. WTHMASS Vertical Distribution</h3><ul style="margin:13.716px 0px;padding-left:27.432px;color:#404040;font-family:quote-cjk-patch, Inter, system-ui, -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Noto Sans", Ubuntu, Cantarell, "Helvetica Neue", Oxygen, "Open Sans", sans-serif;font-size:16.002px;text-wrap-mode:wrap;background-color:#FFFFFF;"><li><p class="ds-markdown-paragraph" style="line-height:28.575px;">Surface layer: Large values (expected due to surface fluxes)</p></li><li style="margin-top:4px;"><p class="ds-markdown-paragraph" style="line-height:28.575px;">Mid-layer: Small values</p></li><li style="margin-top:4px;"><p class="ds-markdown-paragraph" style="line-height:28.575px;">Bottom topography layer: Large values<br><span style="font-weight:600;">Q3:</span> Does this pattern imply proper mass flux conservation?</p></li><li><h3 style="font-size:18.288px;line-height:1.5;margin:18.288px 0px 13.716px;">3. GM Parameterization Concerns</h3></li><li><p class="ds-markdown-paragraph" style="margin-top:13.716px;margin-bottom:13.716px;line-height:28.575px;">With GM enabled:<br><span style="font-weight:600;">Q4:</span> Could GM's subsurface bolus transport artificially alter surface layer heat balance?</p></li><li style="display:block;"><p class="ds-markdown-paragraph" style="margin-top:13.716px;margin-bottom:13.716px;line-height:28.575px;">I would appreciate any suggestions!</p></li><li style="display:block;"><p class="ds-markdown-paragraph" style="margin-top:13.716px;margin-bottom:13.716px;line-height:28.575px;">Best regards,</p></li><li style="display:block;"><p class="ds-markdown-paragraph" style="margin-top:13.716px;margin-bottom:13.716px;line-height:28.575px;">Huan Zheng</p></li><li style="display:block;"><p class="ds-markdown-paragraph" style="margin-top:13.716px;margin-bottom:13.716px;line-height:28.575px;"><br></p></li></ul><p class="ds-markdown-paragraph" style="margin-top:13.716px;margin-bottom:13.716px;font-size:16.002px;line-height:28.575px;color:#404040;font-family:quote-cjk-patch, Inter, system-ui, -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Noto Sans", Ubuntu, Cantarell, "Helvetica Neue", Oxygen, "Open Sans", sans-serif;text-wrap-mode:wrap;background-color:#FFFFFF;"><br></p><li style="display:block;"><p class="ds-markdown-paragraph" style="line-height:28.575px;"><br></p></li><p><br></p><p><br style="text-wrap-mode:wrap;"></p></div>